Package org.apache.commons.math.linear

Linear algebra support.

See:
Description

Interface Summary

AnyMatrix	Interface defining very basic matrix operations.
DecompositionSolver	Interface handling decomposition algorithms that can solve A × X = B.
FieldDecompositionSolver<T extends FieldElement<T>>	Interface handling decomposition algorithms that can solve A × X = B.
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.
ProvidesResidual	This interface provides access to the current value of the residual of an IterativeLinearSolver.
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.
SparseRealMatrix	Marker interface for RealMatrix implementations that require sparse backing storage

Class Summary

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.
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.
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.
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.
CholeskyDecomposition	Calculates the Cholesky decomposition of a matrix.
ConjugateGradient	This is an implementation of the conjugate gradient method for RealLinearOperator.
ConjugateGradient.ConjugateGradientEvent	The type of all events fired by this implementation of the Conjugate Gradient method.
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.
EigenDecomposition	Calculates the eigen decomposition of a real symmetric matrix.
FieldLUDecomposition<T extends FieldElement<T>>	Calculates the LUP-decomposition of a square matrix.
InvertibleRealLinearOperator	This interface defines a RealLinearOperator which can be inverted.
IterativeLinearSolver	This abstract class defines an iterative solver for the linear system A · x = b.
IterativeLinearSolverEvent	This is the base class for all events occuring during the iterations of a IterativeLinearSolver.
JacobiPreconditioner	This class implements the standard Jacobi (diagonal) preconditioner.
LUDecomposition	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.
PivotingQRDecomposition
PreconditionedIterativeLinearSolver	This abstract class defines preconditioned iterative solvers.
QRDecomposition	Calculates the QR-decomposition of a matrix.
RealLinearOperator	This class defines a linear operator operating on real (double) vector spaces.
RealVector	Class defining a real-valued vector with basic algebraic operations.
RealVectorFormat	Formats a vector in components list format "{v0; v1; ...; vk-1}".
RectangularCholeskyDecomposition	Calculates the rectangular Cholesky decomposition of a matrix.
SingularValueDecomposition	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.
SparseRealVector	Marker class for RealVectors that require sparse backing storage
SymmLQ	Implementation of the SYMMLQ iterative linear solver proposed by Paige and Saunders (1975).

Exception Summary

IllConditionedOperatorException	An exception to be thrown when the condition number of a RealLinearOperator is too high.
MatrixDimensionMismatchException	Exception to be thrown when either the number of rows or the number of columns of a matrix do not match the expected values.
NonPositiveDefiniteMatrixException	Exception to be thrown when a positive definite matrix is expected.
NonPositiveDefiniteOperatorException	Exception to be thrown when a symmetric, definite positive RealLinearOperator is expected.
NonSelfAdjointOperatorException	Exception to be thrown when a self-adjoint RealLinearOperator is expected.
NonSquareMatrixException	Exception to be thrown when a square matrix is expected.
NonSquareOperatorException	Exception to be thrown when a square linear operator is expected.
NonSymmetricMatrixException	Exception to be thrown when a symmetric matrix is expected.
SingularMatrixException	Exception to be thrown when a non-singular matrix is expected.
SingularOperatorException	Exception to be thrown when trying to invert a singular operator.

Package org.apache.commons.math.linear Description

Linear algebra support.