Package org.hipparchus.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.
MatrixDecomposer	Interface for all algorithms providing matrix decomposition.
RealLinearOperator	This class defines a linear operator operating on real (double) vector spaces.
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.
RiccatiEquationSolver	An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time or discrete time.
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 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.
CholeskyDecomposer	Matrix decomposer using Cholseky decomposition.
CholeskyDecomposition	Calculates the Cholesky decomposition of a matrix.
ComplexEigenDecomposition	Given a matrix A, it computes a complex eigen decomposition A = VDV^{T}.
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.
FieldQRDecomposition<T extends RealFieldElement<T>>	Calculates the QR-decomposition of a field 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.
LUDecomposer	Matrix decomposer using LU-decomposition.
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.
OrderedComplexEigenDecomposition	Given a matrix A, it computes a complex eigen decomposition A = VDV^{T}.
OrderedEigenDecomposition	Given a matrix A, it computes an eigen decomposition A = VDV^{T}.
PreconditionedIterativeLinearSolver	This abstract class defines preconditioned iterative solvers.
QRDecomposer	Matrix decomposer using QR-decomposition.
QRDecomposition	Calculates the QR-decomposition of a matrix.
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.
RiccatiEquationSolverImpl	This solver computes the solution using the following approach: 1.
RRQRDecomposition	Calculates the rank-revealing QR-decomposition of a matrix, with column pivoting.
SingularValueDecomposer	Matrix decomposer using Singular Value Decomposition.
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).