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.
FieldMatrixDecomposer<T extends FieldElement<T>>	Interface for all algorithms providing matrix decomposition.
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 AV = VD.
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.
EigenDecompositionNonSymmetric	Calculates the eigen decomposition of a non-symmetric real matrix.
EigenDecompositionSymmetric	Calculates the eigen decomposition of a symmetric real matrix.
FieldLUDecomposer<T extends FieldElement<T>>	Matrix decomposer using LU-decomposition.
FieldLUDecomposition<T extends FieldElement<T>>	Calculates the LUP-decomposition of a square matrix.
FieldQRDecomposer<T extends CalculusFieldElement<T>>	Matrix decomposer using QR-decomposition.
FieldQRDecomposition<T extends CalculusFieldElement<T>>	Calculates the QR-decomposition of a field matrix.
HessenbergTransformer	Class transforming a general real matrix to Hessenberg form.
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}.
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.
SchurTransformer	Class transforming a general real matrix to Schur form.
SemiDefinitePositiveCholeskyDecomposition	Calculates the Cholesky decomposition of a positive semidefinite matrix.
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).

Enum Summary

Enum	Description
DependentVectorsHandler	Enumerate to specify how dependent vectors should be handled in MatrixUtils.orthonormalize(List, double, DependentVectorsHandler) and MatrixUtils.orthonormalize(Field, List, CalculusFieldElement, DependentVectorsHandler).