## 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<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.
BiDiagonalTransformer: Class transforming any matrix to bi-diagonal shape.
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.
CholeskyDecomposition.Solver: Specialized solver.
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.
EigenDecomposition: Calculates the eigen decomposition of a real matrix.
EigenDecomposition.Solver: Specialized solver.
FieldLUDecomposition<T extends FieldElement<T>>: Calculates the LUP-decomposition of a square matrix.
FieldLUDecomposition.Solver<T extends FieldElement<T>>: Specialized solver.
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 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.
LUDecomposition.Solver: Specialized solver.
MatrixUtils: A collection of static methods that operate on or return matrices.
MatrixUtils.BigFractionMatrixConverter: Converter for `FieldMatrix`/`BigFraction`.
MatrixUtils.FractionMatrixConverter: Converter for `FieldMatrix`/`Fraction`.
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.
QRDecomposition.Solver: Specialized solver.
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.
SchurTransformer: Class transforming a general real matrix to Schur form.
SchurTransformer.ShiftInfo: Internal data structure holding the current shift information.
SingularValueDecomposition: Calculates the compact Singular Value Decomposition of a matrix.
SingularValueDecomposition.Solver: Specialized solver.
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).
SymmLQ.State: A simple container holding the non-final variables used in the iterations.
TriDiagonalTransformer: Class transforming a symmetrical matrix to tridiagonal shape.

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.

Copyright (c) 2003-2013 Apache Software Foundation