ComplexSingularValueDecomposition<T>.GetPseudoInverse Method

Definition

Namespace: Numerics.NET.LinearAlgebra
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.2

Overload List

GetPseudoInverse() Calculates the pseudo-inverse of the factorized matrix.
GetPseudoInverse(T) Calculates the pseudo-inverse of the factorized matrix.

GetPseudoInverse

Calculates the pseudo-inverse of the factorized matrix.
C#
public DenseMatrix<Complex<T>> GetPseudoInverse()

Return Value

DenseMatrix<Complex<T>>
A DenseMatrix<T> that is the Moore-Penrose pseudo-inverse of this instance.

Remarks

The pseudo-inverse of a matrix is a generalization of the matrix inverse to rectangular and possibly singular matrices. It is defined for all matrices.

GetPseudoInverse(T)

Calculates the pseudo-inverse of the factorized matrix.
C#
public DenseMatrix<Complex<T>> GetPseudoInverse(
	T tolerance
)

Parameters

tolerance  T
The absolute tolerance for singular values to be considered zero.

Return Value

DenseMatrix<Complex<T>>
A DenseMatrix<T> that is the Moore-Penrose pseudo-inverse of this instance.

Remarks

The pseudo-inverse of a matrix is a generalization of the matrix inverse to rectangular and possibly singular matrices. Singular values that are less than tolerance are assumed to be zero.

See Also