Package org.apache.commons.math.linear

Linear algebra support.

See: Description

Interface Summary

Interface	Description
AnyMatrix	Interface defining very basic matrix operations.
BigMatrix	Deprecated as of 2.0, replaced by FieldMatrix with a BigReal parameter
CholeskyDecomposition	An interface to classes that implement an algorithm to calculate the Cholesky decomposition of a real symmetric positive-definite matrix.
DecompositionSolver	Interface handling decomposition algorithms that can solve A × X = B.
EigenDecomposition	An interface to classes that implement an algorithm to calculate the eigen decomposition of a real matrix.
FieldDecompositionSolver<T extends FieldElement<T>>	Interface handling decomposition algorithms that can solve A × X = B.
FieldLUDecomposition<T extends FieldElement<T>>	An interface to classes that implement an algorithm to calculate the LU-decomposition of a real matrix.
FieldMatrix<T extends FieldElement<T>>	Interface defining field-valued matrix with basic algebraic operations.
FieldMatrixChangingVisitor<T extends FieldElement<?>>	Interface defining a visitor for matrix entries.
FieldMatrixPreservingVisitor<T extends FieldElement<?>>	Interface defining a visitor for matrix entries.
FieldVector<T extends FieldElement<T>>	Interface defining a field-valued vector with basic algebraic operations.
LUDecomposition	An interface to classes that implement an algorithm to calculate the LU-decomposition of a real matrix.
QRDecomposition	An interface to classes that implement an algorithm to calculate the QR-decomposition of a real matrix.
RealMatrix	Interface defining a real-valued matrix with basic algebraic operations.
RealMatrixChangingVisitor	Interface defining a visitor for matrix entries.
RealMatrixPreservingVisitor	Interface defining a visitor for matrix entries.
RealVector	Interface defining a real-valued vector with basic algebraic operations.
SingularValueDecomposition	An interface to classes that implement an algorithm to calculate the Singular Value Decomposition of a real matrix.
SparseRealMatrix	Marker interface for RealMatrix implementations that require sparse backing storage
SparseRealVector	Marker interface for RealVectors that require sparse backing storage

Class Summary

Class	Description
AbstractFieldMatrix<T extends FieldElement<T>>	Basic implementation of FieldMatrix methods regardless of the underlying storage.
AbstractRealMatrix	Basic implementation of RealMatrix methods regardless of the underlying storage.
AbstractRealVector	This class provides default basic implementations for many methods in the RealVector interface.
Array2DRowFieldMatrix<T extends FieldElement<T>>	Implementation of FieldMatrix using a FieldElement[][] array to store entries.
Array2DRowRealMatrix	Implementation of RealMatrix using a double[][] array to store entries and LU decomposition to support linear system solution and inverse.
ArrayFieldVector<T extends FieldElement<T>>	This class implements the FieldVector interface with a FieldElement array.
ArrayRealVector	This class implements the RealVector interface with a double array.
BigMatrixImpl	Deprecated as of 2.0, replaced by Array2DRowFieldMatrix with a BigReal parameter
BlockFieldMatrix<T extends FieldElement<T>>	Cache-friendly implementation of FieldMatrix using a flat arrays to store square blocks of the matrix.
BlockRealMatrix	Cache-friendly implementation of RealMatrix using a flat arrays to store square blocks of the matrix.
CholeskyDecompositionImpl	Calculates the Cholesky decomposition of a matrix.
DefaultFieldMatrixChangingVisitor<T extends FieldElement<T>>	Default implementation of the FieldMatrixChangingVisitor interface.
DefaultFieldMatrixPreservingVisitor<T extends FieldElement<T>>	Default implementation of the FieldMatrixPreservingVisitor interface.
DefaultRealMatrixChangingVisitor	Default implementation of the RealMatrixChangingVisitor interface.
DefaultRealMatrixPreservingVisitor	Default implementation of the RealMatrixPreservingVisitor interface.
EigenDecompositionImpl	Calculates the eigen decomposition of a real symmetric matrix.
FieldLUDecompositionImpl<T extends FieldElement<T>>	Calculates the LUP-decomposition of a square matrix.
LUDecompositionImpl	Calculates the LUP-decomposition of a square matrix.
MatrixUtils	A collection of static methods that operate on or return matrices.
OpenMapRealMatrix	Sparse matrix implementation based on an open addressed map.
OpenMapRealVector	This class implements the RealVector interface with a OpenIntToDoubleHashMap backing store.
QRDecompositionImpl	Calculates the QR-decomposition of a matrix.
RealMatrixImpl	Deprecated as of 2.0 replaced by Array2DRowRealMatrix
RealVector.Entry	Class representing a modifiable entry in the vector.
RealVectorFormat	Formats a vector in components list format "{v0; v1; ...; vk-1}".
SingularValueDecompositionImpl	Calculates the compact Singular Value Decomposition of a matrix.
SparseFieldMatrix<T extends FieldElement<T>>	Sparse matrix implementation based on an open addressed map.
SparseFieldVector<T extends FieldElement<T>>	This class implements the FieldVector interface with a OpenIntToFieldHashMap backing store.

Exception Summary

Exception	Description
InvalidMatrixException	Thrown when a system attempts an operation on a matrix, and that matrix does not satisfy the preconditions for the aforementioned operation.
MatrixIndexException	Thrown when an operation addresses a matrix coordinate (row, col) which is outside of the dimensions of a matrix.
MatrixVisitorException	Thrown when a visitor encounters an error while processing a matrix entry.
NonSquareMatrixException	Thrown when an operation defined only for square matrices is applied to non-square ones.
NotPositiveDefiniteMatrixException	This class represents exceptions thrown when a matrix expected to be positive definite is not.
NotSymmetricMatrixException	This class represents exceptions thrown when a matrix expected to be symmetric is not
SingularMatrixException	Thrown when a matrix is singular.

Package org.apache.commons.math.linear Description

Linear algebra support.