la_pseudoinverse::pseudoinvert Interface Reference

Compute the pseudo-inverse of a matrix (subroutine version). More...

Public Member Functions
subroutine	la_pseudoinvert_s (a, pinva, rtol, err)
subroutine	la_pseudoinvert_d (a, pinva, rtol, err)
subroutine	la_pseudoinvert_q (a, pinva, rtol, err)
subroutine	la_pseudoinvert_c (a, pinva, rtol, err)
subroutine	la_pseudoinvert_z (a, pinva, rtol, err)
subroutine	la_pseudoinvert_w (a, pinva, rtol, err)

Detailed Description

Compute the pseudo-inverse of a matrix (subroutine version).

This subroutine computes the Moore-Penrose pseudo-inverse of a real or complex matrix \( A \), storing the result in a pre-allocated output matrix \( A^+ \). The computation is based on Singular Value Decomposition (SVD):

\( A^+ = V \Sigma^+ U^T \)

where \( U \) and \( V \) are unitary matrices, and \( \Sigma^+ \) is the pseudo-inverse of the singular values.

Parameters

[in,out]	A	The input matrix of size \( [m, n] \). Its contents may be modified.
[out]	pinva	The output pseudo-inverse matrix of size \( [n, m] \).
[in]	rtol	(Optional) Relative tolerance for singular value truncation.
[out]	err	(Optional) A state return flag. If an error occurs and err is not provided, the function will stop execution.

Note

This subroutine is useful when the output matrix pinva is already allocated and avoids memory allocation inside the routine.

Warning

The input matrix A may be modified during computation.

Member Function/Subroutine Documentation

la_pseudoinvert_c()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_c	(	complex(sp), dimension(:,:), intent(inout)	a,
		complex(sp), dimension(:,:), intent(inout)	pinva,
		real(sp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_pseudoinvert_d()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_d	(	real(dp), dimension(:,:), intent(inout)	a,
		real(dp), dimension(:,:), intent(inout)	pinva,
		real(dp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_pseudoinvert_q()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_q	(	real(qp), dimension(:,:), intent(inout)	a,
		real(qp), dimension(:,:), intent(inout)	pinva,
		real(qp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_pseudoinvert_s()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_s	(	real(sp), dimension(:,:), intent(inout)	a,
		real(sp), dimension(:,:), intent(inout)	pinva,
		real(sp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_pseudoinvert_w()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_w	(	complex(qp), dimension(:,:), intent(inout)	a,
		complex(qp), dimension(:,:), intent(inout)	pinva,
		real(qp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_pseudoinvert_z()

subroutine la_pseudoinverse::pseudoinvert::la_pseudoinvert_z	(	complex(dp), dimension(:,:), intent(inout)	a,
		complex(dp), dimension(:,:), intent(inout)	pinva,
		real(dp), intent(in), optional	rtol,
		type(la_state), intent(out), optional	err )

Parameters

[in,out]	a	Input matrix a[m,n]
[in,out]	pinva	Output pseudo-inverse matrix
[in]	rtol	[optional] ....
[out]	err	[optional] state return flag. On error if not requested, the code will stop

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

• la_pinv.f90