Package org.apache.commons.math3.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.
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 Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
 

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.
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.
OpenMapRealMatrix Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
OpenMapRealVector Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
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>> Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
SparseFieldVector<T extends FieldElement<T>> Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
SparseRealVector Deprecated. As of version 3.1, this class is deprecated, for reasons exposed in this JIRA ticket.
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.math3.linear Description

Linear algebra support.



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