Package org.apache.commons.math4.linear

Linear algebra support.

Interface Summary

Interface	Description
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.
FieldVectorChangingVisitor<T extends FieldElement<?>>	This interface defines a visitor for the entries of a vector.
FieldVectorPreservingVisitor<T extends FieldElement<?>>	This interface defines a visitor for the entries of a vector.
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.
RealVectorChangingVisitor	This interface defines a visitor for the entries of a vector.
RealVectorPreservingVisitor	This interface defines a visitor for the entries of a vector.
SparseRealMatrix	Marker interface for RealMatrix implementations 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.
Array2DRowFieldMatrix<T extends FieldElement<T>>	Implementation of FieldMatrix<T> 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.
DefaultFieldMatrixChangingVisitor<T extends FieldElement<T>>	Default implementation of the FieldMatrixChangingVisitor interface.
DefaultFieldMatrixPreservingVisitor<T extends FieldElement<T>>	Default implementation of the FieldMatrixPreservingVisitor interface.
DefaultIterativeLinearSolverEvent	A default concrete implementation of the abstract class IterativeLinearSolverEvent.
DefaultRealMatrixChangingVisitor	Default implementation of the RealMatrixChangingVisitor interface.
DefaultRealMatrixPreservingVisitor	Default implementation of the RealMatrixPreservingVisitor interface.
DiagonalMatrix	Implementation of a diagonal matrix.
EigenDecomposition	Calculates the eigen decomposition of a real matrix.
FieldLUDecomposition<T extends FieldElement<T>>	Calculates the LUP-decomposition of a square matrix.
IterativeLinearSolver	This abstract class defines an iterative solver for the linear system A · x = b.
IterativeLinearSolverEvent	This is the base class for all events occurring 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.
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.
RealMatrixFormat	Formats a nxm matrix in components list format "{{a00,a01, ..., a0m-1},{a10, a11, ..., a1m-1},{...},{ an-10, an-11, ..., an-1m-1}}".
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.
RRQRDecomposition	Calculates the rank-revealing QR-decomposition of a matrix, with column pivoting.
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

Exception	Description
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.