Uses of Interface
org.ojalgo.matrix.decomposition.MatrixDecomposition

Packages that use MatrixDecomposition

Package	Description
org.ojalgo.matrix
org.ojalgo.matrix.decomposition

Uses of MatrixDecomposition in org.ojalgo.matrix

Fields in org.ojalgo.matrix declared as MatrixDecomposition

Modifier and Type	Field	Description
private MatrixDecomposition<N>	BasicMatrix.myDecomposition

Uses of MatrixDecomposition in org.ojalgo.matrix.decomposition

Classes in org.ojalgo.matrix.decomposition with type parameters of type MatrixDecomposition

Modifier and Type	Interface	Description
static interface	MatrixDecomposition.Factory<D extends MatrixDecomposition<?>>

Subinterfaces of MatrixDecomposition in org.ojalgo.matrix.decomposition

Modifier and Type	Interface	Description
interface	Bidiagonal<N extends java.lang.Comparable<N>>	A general matrix [A] can be factorized by similarity transformations into the form [A]=[LQ][D][RQ] -1 where: [A] (m-by-n) is any, real or complex, matrix [D] (r-by-r) or (m-by-n) is, upper or lower, bidiagonal [LQ] (m-by-r) or (m-by-m) is orthogonal [RQ] (n-by-r) or (n-by-n) is orthogonal r = min(m,n)
interface	Cholesky<N extends java.lang.Comparable<N>>	Cholesky: [A] = [L][L]H (or [R]H[R])
interface	Eigenvalue<N extends java.lang.Comparable<N>>	[A] = [V][D][V]-1 ([A][V] = [V][D]) [A] = any square matrix. [V] = contains the eigenvectors as columns. [D] = a diagonal matrix with the eigenvalues on the diagonal (possibly in blocks).
static interface	Eigenvalue.Generalised<N extends java.lang.Comparable<N>>
static interface	Eigenvalue.Spectral<N extends java.lang.Comparable<N>>	“Spectral decomposition” refers specifically to the orthogonal/unitary eigen-decomposition of a normal matrix (most commonly Hermitian / symmetric).
interface	Hessenberg<N extends java.lang.Comparable<N>>	Hessenberg: [A] = [Q][H][Q]T A general square matrix [A] can be decomposed by orthogonal similarity transformations into the form [A]=[Q][H][Q]T where [H] is upper (or lower) hessenberg matrix [Q] is orthogonal/unitary
interface	LDL<N extends java.lang.Comparable<N>>	LDL: [A] = [L][D][L]H (or [R]H[D][R])
interface	LDU<N extends java.lang.Comparable<N>>	LDU: [A] = [L][D][U] ( [PL][L][D][U][PU] )
interface	LU<N extends java.lang.Comparable<N>>	LU: [A] = [L][U]
static interface	MatrixDecomposition.Determinant<N extends java.lang.Comparable<N>>
static interface	MatrixDecomposition.EconomySize<N extends java.lang.Comparable<N>>	Several matrix decompositions can be expressed "economy sized" - some rows or columns of the decomposed matrix parts are not needed for the most releveant use cases, and can therefore be left out.
static interface	MatrixDecomposition.Hermitian<N extends java.lang.Comparable<N>>	Some matrix decompositions are only available with hermitian (symmetric) matrices or different decomposition algorithms could be used depending on if the matrix is hemitian or not.
static interface	MatrixDecomposition.Ordered<N extends java.lang.Comparable<N>>
static interface	MatrixDecomposition.Pivoting<N extends java.lang.Comparable<N>>	The pivot or pivot element is the element of a matrix, or an array, which is selected first by an algorithm (e.g.
static interface	MatrixDecomposition.RankRevealing<N extends java.lang.Comparable<N>>	A rank-revealing matrix decomposition of a matrix [A] is a decomposition that is, or can be transformed to be, on the form [A]=[X][D][Y]T where: [X] and [Y] are square and well conditioned. [D] is diagonal with nonnegative and non-increasing values on the diagonal.
static interface	MatrixDecomposition.Solver<N extends java.lang.Comparable<N>>
static interface	MatrixDecomposition.Updatable<N extends java.lang.Comparable<N>>
static interface	MatrixDecomposition.Values<N extends java.lang.Comparable<N>>	Eigenvalue and Singular Value decompositions can calculate the "values" only.
interface	QR<N extends java.lang.Comparable<N>>	QR: [A] = [Q][R] Decomposes [this] into [Q] and [R] where: [Q] is an orthogonal matrix (orthonormal columns).
interface	SingularValue<N extends java.lang.Comparable<N>>	Singular Value: [A] = [U][S][V]T Decomposes [this] into [U], [S] and [V] where: [U] is an orthogonal matrix.
interface	Tridiagonal<N extends java.lang.Comparable<N>>	Tridiagonal: [A] = [Q][D][Q]H Any square symmetric (hermitian) matrix [A] can be factorized by similarity transformations into the form, [A]=[Q][D][Q]-1 where [Q] is an orthogonal (unitary) matrix and [D] is a real symmetric tridiagonal matrix.

Classes in org.ojalgo.matrix.decomposition that implement MatrixDecomposition

Modifier and Type	Class	Description
(package private) class	AbstractDecomposition<N extends java.lang.Comparable<N>,M extends PhysicalStore<N>>
(package private) class	DeferredTridiagonal<N extends java.lang.Comparable<N>>
(package private) static class	DeferredTridiagonal.C128
(package private) static class	DeferredTridiagonal.H256
(package private) static class	DeferredTridiagonal.Q128
(package private) static class	DeferredTridiagonal.R064
(package private) static class	DeferredTridiagonal.R128
(package private) class	DenseBidiagonal<N extends java.lang.Comparable<N>>
(package private) static class	DenseBidiagonal.C128
(package private) static class	DenseBidiagonal.H256
(package private) static class	DenseBidiagonal.Q128
(package private) static class	DenseBidiagonal.R064
(package private) static class	DenseBidiagonal.R128
(package private) class	DenseCholesky<N extends java.lang.Comparable<N>>
(package private) static class	DenseCholesky.C128
(package private) static class	DenseCholesky.H256
(package private) static class	DenseCholesky.Q128
(package private) static class	DenseCholesky.R064
(package private) static class	DenseCholesky.R128
(package private) class	DenseEigenvalue<N extends java.lang.Comparable<N>>
(package private) class	DenseHessenberg<N extends java.lang.Comparable<N>>
(package private) static class	DenseHessenberg.C128
(package private) static class	DenseHessenberg.H256
(package private) static class	DenseHessenberg.Q128
(package private) static class	DenseHessenberg.R064
(package private) static class	DenseHessenberg.R128
(package private) class	DenseLDL<N extends java.lang.Comparable<N>>
(package private) static class	DenseLDL.C128
(package private) static class	DenseLDL.H256
(package private) static class	DenseLDL.Q128
(package private) static class	DenseLDL.R064
(package private) static class	DenseLDL.R128
(package private) class	DenseLU<N extends java.lang.Comparable<N>>
(package private) static class	DenseLU.C128
(package private) static class	DenseLU.H256
(package private) static class	DenseLU.Q128
(package private) static class	DenseLU.R064
(package private) static class	DenseLU.R128
(package private) class	DenseQR<N extends java.lang.Comparable<N>>
(package private) static class	DenseQR.C128
(package private) static class	DenseQR.H256
(package private) static class	DenseQR.Q128
(package private) static class	DenseQR.R064
(package private) static class	DenseQR.R128
(package private) class	DenseSingularValue<N extends java.lang.Comparable<N>>
(package private) static class	DenseSingularValue.C128
(package private) static class	DenseSingularValue.H256
(package private) static class	DenseSingularValue.Q128
(package private) static class	DenseSingularValue.R064
(package private) static class	DenseSingularValue.R128
(package private) class	DenseTridiagonal<N extends java.lang.Comparable<N>>
(package private) class	DynamicEvD<N extends java.lang.Comparable<N>>
(package private) static class	DynamicEvD.R064
(package private) class	GeneralEvD<N extends java.lang.Comparable<N>>
(package private) static class	GeneralEvD.R064	Eigenvalues and eigenvectors of a real matrix.
(package private) class	GeneralisedEvD<N extends java.lang.Comparable<N>>
(package private) class	HermitianEvD<N extends java.lang.Comparable<N>>	Eigenvalues and eigenvectors of a real matrix.
(package private) static class	HermitianEvD.C128
(package private) static class	HermitianEvD.H256
(package private) static class	HermitianEvD.Q128
(package private) static class	HermitianEvD.R064
(package private) static class	HermitianEvD.R128
(package private) class	InPlaceDecomposition<N extends java.lang.Comparable<N>>
(package private) class	RawCholesky
(package private) class	RawDecomposition	In many ways similar to InPlaceDecomposition but this class is hardwired to work with double[][] data.
(package private) class	RawEigenvalue	Eigenvalues and eigenvectors of a real matrix.
(package private) static class	RawEigenvalue.Dynamic
(package private) static class	RawEigenvalue.General
(package private) static class	RawEigenvalue.Symmetric
(package private) class	RawLU
(package private) class	RawQR	For an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n orthogonal matrix Q and an n-by-n upper triangular matrix R so that A = Q*R.
(package private) class	RawSingularValue	Singular Value Decomposition.
(package private) class	SimultaneousTridiagonal	Computes Q while decomposing.
(package private) class	SparseLU	A sparse, primitive double based, LU decomposition with support for incremental Forrest-Tomlin updates.

Methods in org.ojalgo.matrix.decomposition with type parameters of type MatrixDecomposition

Modifier and Type	Method	Description
default <N extends java.lang.Comparable<N>,DN extends MatrixDecomposition<N>> DN	MatrixDecomposition.Factory.decompose(Access2D.Collectable<N,? super TransformableRegion<N>> matrix)	Will create a new decomposition instance and directly perform the decomposition.