Package fr.cnes.sirius.patrius.math.linear

Interface Summary

Interface	Description
AnyMatrix	Interface defining very basic matrix operations.
Decomposition	Define the decomposition of a real matrix.
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.
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.
SymmetricMatrix	Interface for symmetric matrices.
SymmetricPositiveMatrix	Interface for symmetric positive semi-definite matrices.
UDDecomposition	An interface to classes that implement an algorithm to calculate the UD-decomposition of a real matrix.

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.
ArrayRowSymmetricMatrix	Symmetric matrix defined by its lower triangular part.
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.
DecomposedSymmetricPositiveMatrix	Stores a symmetric positive semi-definite matrix as A = B×BT.
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 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.
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.
SingularValueDecomposition	Calculates the compact Singular Value Decomposition of a matrix.
SymmLQ	Implementation of the SYMMLQ iterative linear solver proposed by Paige and Saunders (1975).
UDDecompositionImpl	Calculates the UD decomposition of a matrix.

Enum Summary

Enum	Description
ArrayRowSymmetricMatrix.SymmetryType	Enumerate to fill in a symmetric matrix only by its lower/upper part.

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.