SVD Class Reference

Singular value decomposition of a rectangular matrix. More...

Public Member Functions
	SVD (const scalarRectangularMatrix &A, const scalar minCondition=0)
	Construct from a rectangular Matrix. More...
const scalarRectangularMatrix &	U () const
	Return U. More...
const scalarRectangularMatrix &	V () const
	Return the square matrix V. More...
const scalarDiagonalMatrix &	S () const
	Return the singular values. More...
const scalarRectangularMatrix &	VSinvUt () const
	Return VSinvUt (the pseudo inverse) More...
label	nZeros () const
	Return the number of zero singular values. More...
scalar	minNonZeroS () const
	Return the minimum non-zero singular value. More...

Detailed Description

Singular value decomposition of a rectangular matrix.

Source files

• SVD.H
• SVDI.H
• SVD.C

Definition at line 51 of file SVD.H.

Constructor & Destructor Documentation

SVD	(	const scalarRectangularMatrix &	A,
		const scalar	minCondition = 0
	)

Construct from a rectangular Matrix.

Definition at line 33 of file SVD.C.

References Foam::constant::universal::c, Foam::endl(), f(), Foam::findMax(), forAll, g, Foam::constant::universal::h, Foam::inv(), k, Matrix< Form, Type >::m(), Foam::mag(), Foam::max(), Foam::min(), Foam::multiply(), Matrix< Form, Type >::n(), s(), Foam::sqrt(), Foam::sqrtSumSqr(), Matrix< Form, Type >::T(), WarningInFunction, x, and y.

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Member Function Documentation

const Foam::scalarRectangularMatrix & U ( ) const

inline

Return U.

Definition at line 37 of file SVDI.H.

const Foam::scalarRectangularMatrix & V ( ) const

inline

Return the square matrix V.

Definition at line 42 of file SVDI.H.

const Foam::scalarDiagonalMatrix & S ( ) const

inline

Return the singular values.

Definition at line 47 of file SVDI.H.

Referenced by CentredFitSnGradData< Polynomial >::calcFit().

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const Foam::scalarRectangularMatrix & VSinvUt ( ) const

inline

Return VSinvUt (the pseudo inverse)

Definition at line 52 of file SVDI.H.

Referenced by CentredFitSnGradData< Polynomial >::calcFit(), FitData< FitDataType, ExtendedStencil, Polynomial >::calcFit(), and Foam::SVDinv().

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Foam::label nZeros ( ) const

inline

Return the number of zero singular values.

Definition at line 57 of file SVDI.H.

Foam::scalar minNonZeroS ( ) const

inline

Return the minimum non-zero singular value.

Definition at line 62 of file SVDI.H.

References s(), and List< T >::size().

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The documentation for this class was generated from the following files:

• src/OpenFOAM/matrices/scalarMatrices/SVD/SVD.H
• src/OpenFOAM/matrices/scalarMatrices/SVD/SVD.C
• src/OpenFOAM/matrices/scalarMatrices/SVD/SVDI.H