rocsolver_spotri Interface Reference

rocsolver_spotri Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_spotri Interface Reference

The POTRI functions invert a symmetric/Hermitian positive definite matrix A. More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_spotri_ (handle, uplo, n, a, lda, myinfo)

integer(kind(rocblas_status_success)) function	rocsolver_spotri_rank_0 (handle, uplo, n, a, lda, myinfo)

integer(kind(rocblas_status_success)) function	rocsolver_spotri_rank_1 (handle, uplo, n, a, lda, myinfo)

integer(kind(rocblas_status_success)) function	rocsolver_spotri_full_rank (handle, uplo, n, a, lda, myinfo)

Detailed Description

The POTRI functions invert a symmetric/Hermitian positive definite matrix A.

The inverse of matrix \(A\) is computed as

\[ \begin{array}{cl} A^{-1} = U^{-1} {U^{-1}}^H & \: \text{if uplo is upper, or}\\% A^{-1} = {L^{-1}}^H L^{-1} & \: \text{if uplo is lower.} \end{array} \]

where \(U\) or \(L\) is the triangular factor of the Cholesky factorization of \(A\) returned by POTRF.

Parameters

[in]	handle	- rocblas_handle.
[in]	uplo	- rocblas_fill. Specifies whether the factorization is upper or lower triangular. If uplo indicates lower (or upper), then the upper (or lower) part of A is not used.
[in]	n	- rocblas_int. n >= 0. The number of rows and columns of matrix A.
[in,out]	A	- pointer to type. Array on the GPU of dimension lda*n. On entry, the factor L or U of the Cholesky factorization of A returned by POTRF. On exit, the inverse of A if info = 0.
[in]	lda	- rocblas_int. lda >= n. Specifies the leading dimension of A.
[out]	myInfo	- pointer to a rocblas_int on the GPU. If info = 0, successful exit for inversion of A. If info = i > 0, A is singular. L[i,i] or U[i,i] is zero.

Member Function/Subroutine Documentation