AbstractFieldMatrix (The Adobe AEM Quickstart and Web Application.)

java.lang.Object
- org.apache.commons.math.linear.AbstractFieldMatrix<T>

Type Parameters:

T - the type of the field elements

All Implemented Interfaces:

AnyMatrix, FieldMatrix<T>

Direct Known Subclasses:

Array2DRowFieldMatrix, BlockFieldMatrix, SparseFieldMatrix
```
public abstract class AbstractFieldMatrix<T extends FieldElement<T>>
extends java.lang.Object
implements FieldMatrix<T>
```
Basic implementation of FieldMatrix methods regardless of the underlying storage.
All the methods implemented here use getEntry(int, int) to access matrix elements. Derived class can provide faster implementations.

Since:

2.0

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method and Description
`FieldMatrix<T>`	`add(FieldMatrix<T> m)` Compute the sum of this and m.
`abstract void`	`addToEntry(int row, int column, T increment)` Change an entry in the specified row and column.
`abstract FieldMatrix<T>`	`copy()` Returns a (deep) copy of this.
`void`	`copySubMatrix(int[] selectedRows, int[] selectedColumns, T[][] destination)` Copy a submatrix.
`void`	`copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, T[][] destination)` Copy a submatrix.
`abstract FieldMatrix<T>`	`createMatrix(int rowDimension, int columnDimension)` Create a new FieldMatrix of the same type as the instance with the supplied row and column dimensions.
`boolean`	`equals(java.lang.Object object)` Returns true iff `object` is a `FieldMatrix` instance with the same dimensions as this and all corresponding matrix entries are equal.
`T[]`	`getColumn(int column)` Returns the entries in column number `col` as an array.
`abstract int`	`getColumnDimension()` Returns the number of columns in the matrix.
`FieldMatrix<T>`	`getColumnMatrix(int column)` Returns the entries in column number `column` as a column matrix.
`FieldVector<T>`	`getColumnVector(int column)` Returns the entries in column number `column` as a vector.
`T[][]`	`getData()` Returns matrix entries as a two-dimensional array.
`abstract T`	`getEntry(int row, int column)` Returns the entry in the specified row and column.
`Field<T>`	`getField()` Get the type of field elements of the matrix.
`T[]`	`getRow(int row)` Returns the entries in row number `row` as an array.
`abstract int`	`getRowDimension()` Returns the number of rows in the matrix.
`FieldMatrix<T>`	`getRowMatrix(int row)` Returns the entries in row number `row` as a row matrix.
`FieldVector<T>`	`getRowVector(int row)` Returns the entries in row number `row` as a vector.
`FieldMatrix<T>`	`getSubMatrix(int[] selectedRows, int[] selectedColumns)` Gets a submatrix.
`FieldMatrix<T>`	`getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)` Gets a submatrix.
`T`	`getTrace()` Returns the trace of the matrix (the sum of the elements on the main diagonal).
`int`	`hashCode()` Computes a hashcode for the matrix.
`boolean`	`isSquare()` Is this a square matrix?
`FieldMatrix<T>`	`multiply(FieldMatrix<T> m)` Returns the result of postmultiplying this by m.
`abstract void`	`multiplyEntry(int row, int column, T factor)` Change an entry in the specified row and column.
`FieldVector<T>`	`operate(FieldVector<T> v)` Returns the result of multiplying this by the vector `v`.
`T[]`	`operate(T[] v)` Returns the result of multiplying this by the vector `v`.
`FieldMatrix<T>`	`preMultiply(FieldMatrix<T> m)` Returns the result premultiplying this by `m`.
`FieldVector<T>`	`preMultiply(FieldVector<T> v)` Returns the (row) vector result of premultiplying this by the vector `v`.
`T[]`	`preMultiply(T[] v)` Returns the (row) vector result of premultiplying this by the vector `v`.
`FieldMatrix<T>`	`scalarAdd(T d)` Returns the result of adding d to each entry of this.
`FieldMatrix<T>`	`scalarMultiply(T d)` Returns the result multiplying each entry of this by d.
`void`	`setColumn(int column, T[] array)` Sets the entries in column number `column` as a column matrix.
`void`	`setColumnMatrix(int column, FieldMatrix<T> matrix)` Sets the entries in column number `column` as a column matrix.
`void`	`setColumnVector(int column, FieldVector<T> vector)` Sets the entries in column number `column` as a vector.
`abstract void`	`setEntry(int row, int column, T value)` Set the entry in the specified row and column.
`void`	`setRow(int row, T[] array)` Sets the entries in row number `row` as a row matrix.
`void`	`setRowMatrix(int row, FieldMatrix<T> matrix)` Sets the entries in row number `row` as a row matrix.
`void`	`setRowVector(int row, FieldVector<T> vector)` Sets the entries in row number `row` as a vector.
`void`	`setSubMatrix(T[][] subMatrix, int row, int column)` Replace the submatrix starting at `row, column` using data in the input `subMatrix` array.
`FieldMatrix<T>`	`subtract(FieldMatrix<T> m)` Compute this minus m.
`java.lang.String`	`toString()` Get a string representation for this matrix.
`FieldMatrix<T>`	`transpose()` Returns the transpose of this matrix.
`T`	`walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor)` Visit (and possibly change) all matrix entries in column order.
`T`	`walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (and possibly change) some matrix entries in column order.
`T`	`walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor)` Visit (but don't change) all matrix entries in column order.
`T`	`walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (but don't change) some matrix entries in column order.
`T`	`walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor)` Visit (and possibly change) all matrix entries using the fastest possible order.
`T`	`walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (and possibly change) some matrix entries using the fastest possible order.
`T`	`walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor)` Visit (but don't change) all matrix entries using the fastest possible order.
`T`	`walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (but don't change) some matrix entries using the fastest possible order.
`T`	`walkInRowOrder(FieldMatrixChangingVisitor<T> visitor)` Visit (and possibly change) all matrix entries in row order.
`T`	`walkInRowOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (and possibly change) some matrix entries in row order.
`T`	`walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor)` Visit (but don't change) all matrix entries in row order.
`T`	`walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn)` Visit (but don't change) some matrix entries in row order.

Methods inherited from class java.lang.Object
getClass, notify, notifyAll, wait, wait, wait

- Method Detail
  - getField
```
public Field<T> getField()
```
    Get the type of field elements of the matrix.
    
    Specified by:
    
    getField in interface FieldMatrix<T extends FieldElement<T>>
    
    Returns:
    
    type of field elements of the matrix
  - createMatrix
```
public abstract FieldMatrix<T> createMatrix(int rowDimension,
                                            int columnDimension)
                                     throws java.lang.IllegalArgumentException
```
    Create a new FieldMatrix of the same type as the instance with the supplied row and column dimensions.
    
    Specified by:
    
    createMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    rowDimension - the number of rows in the new matrix
    
    columnDimension - the number of columns in the new matrix
    
    Returns:
    
    a new matrix of the same type as the instance
    
    Throws:
    
    java.lang.IllegalArgumentException - if row or column dimension is not positive
  - copy
```
public abstract FieldMatrix<T> copy()
```
    Returns a (deep) copy of this.
    
    Specified by:
    
    copy in interface FieldMatrix<T extends FieldElement<T>>
    
    Returns:
    
    matrix copy
  - add
```
public FieldMatrix<T> add(FieldMatrix<T> m)
                   throws java.lang.IllegalArgumentException
```
    Compute the sum of this and m.
    
    Specified by:
    
    add in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    m - matrix to be added
    
    Returns:
    
    this + m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - subtract
```
public FieldMatrix<T> subtract(FieldMatrix<T> m)
                        throws java.lang.IllegalArgumentException
```
    Compute this minus m.
    
    Specified by:
    
    subtract in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    m - matrix to be subtracted
    
    Returns:
    
    this + m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - scalarAdd
```
public FieldMatrix<T> scalarAdd(T d)
```
    Returns the result of adding d to each entry of this.
    
    Specified by:
    
    scalarAdd in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    d - value to be added to each entry
    
    Returns:
    
    d + this
  - scalarMultiply
```
public FieldMatrix<T> scalarMultiply(T d)
```
    Returns the result multiplying each entry of this by d.
    
    Specified by:
    
    scalarMultiply in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    d - value to multiply all entries by
    
    Returns:
    
    d * this
  - multiply
```
public FieldMatrix<T> multiply(FieldMatrix<T> m)
                        throws java.lang.IllegalArgumentException
```
    Returns the result of postmultiplying this by m.
    
    Specified by:
    
    multiply in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    m - matrix to postmultiply by
    
    Returns:
    
    this * m
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension(this) != rowDimension(m)
  - preMultiply
```
public FieldMatrix<T> preMultiply(FieldMatrix<T> m)
                           throws java.lang.IllegalArgumentException
```
    Returns the result premultiplying this by m.
    
    Specified by:
    
    preMultiply in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    m - matrix to premultiply by
    
    Returns:
    
    m * this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension(this) != columnDimension(m)
  - getData
```
public T[][] getData()
```
    Returns matrix entries as a two-dimensional array.
    
    Specified by:
    
    getData in interface FieldMatrix<T extends FieldElement<T>>
    
    Returns:
    
    2-dimensional array of entries
  - getSubMatrix
```
public FieldMatrix<T> getSubMatrix(int startRow,
                                   int endRow,
                                   int startColumn,
                                   int endColumn)
                            throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    getSubMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    The subMatrix containing the data of the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
  - getSubMatrix
```
public FieldMatrix<T> getSubMatrix(int[] selectedRows,
                                   int[] selectedColumns)
                            throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    getSubMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    Returns:
    
    The subMatrix containing the data in the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if row or column selections are not valid
  - copySubMatrix
```
public void copySubMatrix(int startRow,
                          int endRow,
                          int startColumn,
                          int endColumn,
                          T[][] destination)
                   throws MatrixIndexException,
                          java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    copySubMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - copySubMatrix
```
public void copySubMatrix(int[] selectedRows,
                          int[] selectedColumns,
                          T[][] destination)
                   throws MatrixIndexException,
                          java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    copySubMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - setSubMatrix
```
public void setSubMatrix(T[][] subMatrix,
                         int row,
                         int column)
                  throws MatrixIndexException
```
    Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.
    Example:
    Starting with
```
 1  2  3  4
 5  6  7  8
 9  0  1  2
 
```
    and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in
```
 1  2  3  4
 5  3  4  8
 9  5  6  2
 
```
    Specified by:
    
    setSubMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    subMatrix - array containing the submatrix replacement data
    
    row - row coordinate of the top, left element to be replaced
    
    column - column coordinate of the top, left element to be replaced
    
    Throws:
    
    MatrixIndexException - if subMatrix does not fit into this matrix from element in (row, column)
  - getRowMatrix
```
public FieldMatrix<T> getRowMatrix(int row)
                            throws MatrixIndexException
```
    Returns the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    getRowMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row matrix
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowMatrix
```
public void setRowMatrix(int row,
                         FieldMatrix<T> matrix)
                  throws MatrixIndexException,
                         InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    setRowMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be set
    
    matrix - row matrix (must have one row and the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance row
  - getColumnMatrix
```
public FieldMatrix<T> getColumnMatrix(int column)
                               throws MatrixIndexException
```
    Returns the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    getColumnMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column matrix
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnMatrix
```
public void setColumnMatrix(int column,
                            FieldMatrix<T> matrix)
                     throws MatrixIndexException,
                            InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    setColumnMatrix in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be set
    
    matrix - column matrix (must have one column and the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance column
  - getRowVector
```
public FieldVector<T> getRowVector(int row)
                            throws MatrixIndexException
```
    Returns the entries in row number row as a vector. Row indices start at 0.
    
    Specified by:
    
    getRowVector in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row vector
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowVector
```
public void setRowVector(int row,
                         FieldVector<T> vector)
                  throws MatrixIndexException,
                         InvalidMatrixException
```
    Sets the entries in row number row as a vector. Row indices start at 0.
    
    Specified by:
    
    setRowVector in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be set
    
    vector - row vector (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance row
  - getColumnVector
```
public FieldVector<T> getColumnVector(int column)
                               throws MatrixIndexException
```
    Returns the entries in column number column as a vector. Column indices start at 0.
    
    Specified by:
    
    getColumnVector in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column vector
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnVector
```
public void setColumnVector(int column,
                            FieldVector<T> vector)
                     throws MatrixIndexException,
                            InvalidMatrixException
```
    Sets the entries in column number column as a vector. Column indices start at 0.
    
    Specified by:
    
    setColumnVector in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be set
    
    vector - column vector (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance column
  - getRow
```
public T[] getRow(int row)
           throws MatrixIndexException
```
    Returns the entries in row number row as an array.
    Row indices start at 0. A MatrixIndexException is thrown unless 0 <= row < rowDimension.
    
    Specified by:
    
    getRow in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    array of entries in the row
    
    Throws:
    
    MatrixIndexException - if the specified row index is not valid
  - setRow
```
public void setRow(int row,
                   T[] array)
            throws MatrixIndexException,
                   InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    setRow in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - the row to be set
    
    array - row matrix (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the array size does not match one instance row
  - getColumn
```
public T[] getColumn(int column)
              throws MatrixIndexException
```
    Returns the entries in column number col as an array.
    Column indices start at 0. A MatrixIndexException is thrown unless 0 <= column < columnDimension.
    
    Specified by:
    
    getColumn in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    array of entries in the column
    
    Throws:
    
    MatrixIndexException - if the specified column index is not valid
  - setColumn
```
public void setColumn(int column,
                      T[] array)
               throws MatrixIndexException,
                      InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    setColumn in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    column - the column to be set
    
    array - column array (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the array size does not match one instance column
  - getEntry
```
public abstract T getEntry(int row,
                           int column)
                    throws MatrixIndexException
```
    Returns the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    - 0 <= row < rowDimension
    - 0 <= column < columnDimension
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    getEntry in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - row location of entry to be fetched
    
    column - column location of entry to be fetched
    
    Returns:
    
    matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - setEntry
```
public abstract void setEntry(int row,
                              int column,
                              T value)
                       throws MatrixIndexException
```
    Set the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    - 0 <= row < rowDimension
    - 0 <= column < columnDimension
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    setEntry in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    value - matrix entry to be set in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - addToEntry
```
public abstract void addToEntry(int row,
                                int column,
                                T increment)
                         throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    - 0 <= row < rowDimension
    - 0 <= column < columnDimension
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    addToEntry in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    increment - value to add to the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - multiplyEntry
```
public abstract void multiplyEntry(int row,
                                   int column,
                                   T factor)
                            throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    - 0 <= row < rowDimension
    - 0 <= column < columnDimension
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    multiplyEntry in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    factor - multiplication factor for the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - transpose
```
public FieldMatrix<T> transpose()
```
    Returns the transpose of this matrix.
    
    Specified by:
    
    transpose in interface FieldMatrix<T extends FieldElement<T>>
    
    Returns:
    
    transpose matrix
  - isSquare
```
public boolean isSquare()
```
    Is this a square matrix?
    
    Specified by:
    
    isSquare in interface AnyMatrix
    
    Returns:
    
    true if the matrix is square (rowDimension = columnDimension)
  - getRowDimension
```
public abstract int getRowDimension()
```
    Returns the number of rows in the matrix.
    
    Specified by:
    
    getRowDimension in interface AnyMatrix
    
    Returns:
    
    rowDimension
  - getColumnDimension
```
public abstract int getColumnDimension()
```
    Returns the number of columns in the matrix.
    
    Specified by:
    
    getColumnDimension in interface AnyMatrix
    
    Returns:
    
    columnDimension
  - getTrace
```
public T getTrace()
           throws NonSquareMatrixException
```
    Returns the trace of the matrix (the sum of the elements on the main diagonal).
    
    Specified by:
    
    getTrace in interface FieldMatrix<T extends FieldElement<T>>
    
    Returns:
    
    trace
    
    Throws:
    
    NonSquareMatrixException - if the matrix is not square
  - operate
```
public T[] operate(T[] v)
            throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Specified by:
    
    operate in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - operate
```
public FieldVector<T> operate(FieldVector<T> v)
                       throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Specified by:
    
    operate in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - preMultiply
```
public T[] preMultiply(T[] v)
                throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Specified by:
    
    preMultiply in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - preMultiply
```
public FieldVector<T> preMultiply(FieldVector<T> v)
                           throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Specified by:
    
    preMultiply in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - walkInRowOrder
```
public T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor)
                 throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor)
                 throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor,
                        int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                 throws MatrixIndexException,
                        MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor,
                        int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                 throws MatrixIndexException,
                        MatrixVisitorException
```
    Visit (but don't change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor)
                    throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor)
                    throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor,
                           int startRow,
                           int endRow,
                           int startColumn,
                           int endColumn)
                    throws MatrixIndexException,
                           MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor,
                           int startRow,
                           int endRow,
                           int startColumn,
                           int endColumn)
                    throws MatrixIndexException,
                           MatrixVisitorException
```
    Visit (but don't change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor)
                       throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor)
                       throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor,
                              int startRow,
                              int endRow,
                              int startColumn,
                              int endColumn)
                       throws MatrixIndexException,
                              MatrixVisitorException
```
    Visit (and possibly change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by FieldMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor,
                              int startRow,
                              int endRow,
                              int startColumn,
                              int endColumn)
                       throws MatrixIndexException,
                              MatrixVisitorException
```
    Visit (but don't change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
  - toString
```
public java.lang.String toString()
```
    Get a string representation for this matrix.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    a string representation for this matrix
  - equals
```
public boolean equals(java.lang.Object object)
```
    Returns true iff object is a FieldMatrix instance with the same dimensions as this and all corresponding matrix entries are equal.
    
    Overrides:
    
    equals in class java.lang.Object
    
    Parameters:
    
    object - the object to test equality against.
    
    Returns:
    
    true if object equals this
  - hashCode
```
public int hashCode()
```
    Computes a hashcode for the matrix.
    
    Overrides:
    
    hashCode in class java.lang.Object
    
    Returns:
    
    hashcode for matrix

Class AbstractFieldMatrix<T extends FieldElement<T>>

Method Summary

Methods inherited from class java.lang.Object

Method Detail

getField

createMatrix

copy

add

subtract

scalarAdd

scalarMultiply

multiply

preMultiply

getData

getSubMatrix

getSubMatrix

copySubMatrix

copySubMatrix

setSubMatrix

getRowMatrix

setRowMatrix

getColumnMatrix

setColumnMatrix

getRowVector

setRowVector

getColumnVector

setColumnVector

getRow

setRow

getColumn

setColumn

getEntry

setEntry

addToEntry

multiplyEntry

transpose

isSquare

getRowDimension

getColumnDimension

getTrace

operate

operate

preMultiply

preMultiply

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

toString

equals

hashCode