lalg_adv_oct_m::lalg_pseudo_inverse Interface Reference

Detailed Description

Definition at line 210 of file lalg_adv.F90.

Private Member Functions
subroutine	dlalg_pseudo_inverse (a, threshold)
	Invert a matrix with the Moore-Penrose pseudo-inverse. More...
subroutine	zlalg_pseudo_inverse (a, threshold)
	Invert a matrix with the Moore-Penrose pseudo-inverse. More...

Member Function/Subroutine Documentation

dlalg_pseudo_inverse()

subroutine lalg_adv_oct_m::lalg_pseudo_inverse::dlalg_pseudo_inverse ( real(real64), dimension(:, :), intent(inout), allocatable  a, real(real64), intent(in), optional  threshold  )

private

Invert a matrix with the Moore-Penrose pseudo-inverse.

SVD is used to find the U, V and Sigma matrices:

\[ A = U \Sigma V^\dagger \]

Diagonal terms in Sigma <= threshold are set to zero, and the inverse is constructed as:

\[] A^{-1} \approx V \Sigma U^\dagger \]

Parameters

[in,out]

a

Input: (m, n)

Definition at line 3504 of file lalg_adv.F90.

zlalg_pseudo_inverse()

subroutine lalg_adv_oct_m::lalg_pseudo_inverse::zlalg_pseudo_inverse ( complex(real64), dimension(:, :), intent(inout), allocatable  a, real(real64), intent(in), optional  threshold  )

private

Invert a matrix with the Moore-Penrose pseudo-inverse.

SVD is used to find the U, V and Sigma matrices:

\[ A = U \Sigma V^\dagger \]

Diagonal terms in Sigma <= threshold are set to zero, and the inverse is constructed as:

\[] A^{-1} \approx V \Sigma U^\dagger \]

Parameters

[in,out]

a

Input: (m, n)

Definition at line 1893 of file lalg_adv.F90.

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The documentation for this interface was generated from the following file:

• math/lalg_adv.F90