|
Interface Summary |
| Bidiagonal<N extends Number> |
A general matrix [A] (m-by-n) can be factorized by similarity
transformations into the form [A]=[Q1][D][Q2]T where
[D] (r-by-r) is (upper or lower) bidiagonal
[Q1] (m-by-r) is orthogonal
[Q2] (n-by-r) is orthogonal
r = min(m,n)
|
| Cholesky<N extends Number> |
If [A] is symmetric and positive definite then the general
LU decomposition - [P][L][D][U] - becomes [I][L][D][L]T
(or [I][U]T[D][U]). |
| DecompositionStore<N extends Number> |
Only classes that will act as a delegate to a MatrixDecomposition
implementation from this package should implement this interface. |
| Eigenvalue<N extends Number> |
Calculates eigenvalues and eigenvectors (for square matrices). |
| Hessenberg<N extends Number> |
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
|
| LU<N extends Number> |
Decomposes [this] into [L] and [U] (with pivot order information
in an int[]) where: |
| MatrixDecomposition<N extends Number> |
Some standard matrix names:
[A] could be any matrix.
[D] is a diagonal matrix. |
| QR<N extends Number> |
Decomposes [this] into [Q] and [R] where:
[Q] is an orthogonal matrix (orthonormal columns). |
| Schur<N extends Number> |
[A] = [Q][U][Q]-1 where:
[A] is a square complex entry matrix.
[Q] is a unitary matrix (so that [Q]-1 equals
[Q]H).
[U] is an upper triangular matrix, which is called a Schur form
of [A]. |
| SingularValue<N extends Number> |
Decomposes [this] into [Q1], [D] and [Q2] where:
[Q1] is an orthogonal matrix. |
| Tridiagonal<N extends Number> |
Any symmetric/hermitian matrix [A] can be factorized by similarity
transformations into the form,
[A]=[Q][D][Q]T
where [Q] is an orthogonal/unitary matrix and [D] is a real symmetric
tridiagonal matrix. |
|
Class Summary |
| BidiagonalDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: BidiagonalDecomposition.makeBig(),
BidiagonalDecomposition.makeComplex() or BidiagonalDecomposition.makePrimitive(). |
| CholeskyDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: CholeskyDecomposition.makeBig(),
CholeskyDecomposition.makeComplex(), CholeskyDecomposition.makePrimitive() or
CholeskyDecomposition.makeJama(). |
| DecompositionStore.ExchangeColumnsCaller<N extends Number> |
|
| DecompositionStore.HouseholderReference<N extends Number> |
|
| DecompositionStore.NegateColumnCaller<N extends Number> |
|
| DecompositionStore.RotateRightCaller<N extends Number> |
|
| EigenvalueDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: EigenvalueDecomposition.makeBig(),
EigenvalueDecomposition.makePrimitive() or
EigenvalueDecomposition.makeJama(). |
| HessenbergDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: HessenbergDecomposition.makeBig(),
HessenbergDecomposition.makeComplex() or HessenbergDecomposition.makePrimitive(). |
| LUDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: LUDecomposition.makeBig(),
LUDecomposition.makeComplex(), LUDecomposition.makePrimitive() or
LUDecomposition.makeJama(). |
| LUDecomposition.Pivot |
|
| QRDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: QRDecomposition.makeBig(),
QRDecomposition.makeComplex(), QRDecomposition.makePrimitive() or
QRDecomposition.makeJama(). |
| SchurDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling
the static factory method SchurDecomposition.makePrimitive(). |
| SchurDecomposition.SchurResult<N extends Number> |
|
| SingularValueDecomposition<N extends Number & Comparable<N>> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: SingularValueDecomposition.makeBig(),
SingularValueDecomposition.makeComplex(), SingularValueDecomposition.makePrimitive(),
SingularValueDecomposition.makeAlternative() or SingularValueDecomposition.makeJama(). |
| TridiagonalDecomposition<N extends Number> |
You create instances of (some subclass of) this class by calling one
of the static factory methods: TridiagonalDecomposition.makeBig(),
TridiagonalDecomposition.makeComplex() or TridiagonalDecomposition.makePrimitive(). |