p?potri

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/15/2026

Version

Public

p?potri

Computes the inverse of a symmetric/Hermitian positive definite distributed matrix.

Syntax

void pspotri(char *uplo, MKL_INT *n, float *a, MKL_INT *ia, MKL_INT *ja, MKL_INT *desca,
             MKL_INT *info);

void pdpotri(char *uplo, MKL_INT *n, double *a, MKL_INT *ia, MKL_INT *ja, MKL_INT *desca,
             MKL_INT *info);

void pcpotri(char *uplo, MKL_INT *n, MKL_Complex8 *a, MKL_INT *ia, MKL_INT *ja,
             MKL_INT *desca, MKL_INT *info);

void pzpotri(char *uplo, MKL_INT *n, MKL_Complex16 *a, MKL_INT *ia, MKL_INT *ja,
             MKL_INT *desca, MKL_INT *info);

Include Files

mkl_scalapack.h

Description

pspotri pdpotri pcpotri pzpotri The p?potri routine function computes the inverse of a real symmetric or complex Hermitian positive definite distributed matrix sub( A ) = A ( ia : ia + n -1, ja : ja + n -1) using the Cholesky factorization sub( A ) = U^H*U or sub( A ) = L*L^H computed by p?potrf .

Input Parameters

uplo

(global) Must be ‘U’ or ‘L’ .

Specifies whether the upper or lower triangular part of the symmetric/Hermitian matrix sub( A ) is stored. If uplo = 'U' , upper triangle of sub( A ) is stored. If uplo = 'L' , lower triangle of sub( A ) is stored.

n

(global) The number of rows and columns to be operated on, that is, the order of the distributed matrix sub( A ) (n≥0) .

a

(local) REAL for pspotri DOUBLE PRECISION for pdpotri COMPLEX for pcpotri DOUBLE COMPLEX for pzpotri .

Pointer into the local memory to an array of local size (lld_a,LOCc(ja+n-1))lld_a * LOCc ( ja + n -1) .

On entry, the array a contains the local pieces of the triangular factor U or L from the Cholesky factorization sub( A ) = U^H*U, or sub( A ) = L*L^H , as computed by p?potrf .

ia , ja

(global) The row and column indices in the global matrix A indicating the first row and the first column of the matrix sub( A ), respectively.

desca

(global and local) array of size dlen_ . The array descriptor for the distributed matrix A .

Output Parameters

a: On exit, overwritten by the local pieces of the upper or lower triangle of the (symmetric/Hermitian) inverse of sub( A ).

info

(global) If info=0 , the execution is successful.

info < 0 :

If the i -th argument is an array and the j- th entry , indexed j - 1, had an illegal value, then info = -( i *100+ j ); if the i- th argument is a scalar and had an illegal value, then info = -i .

info> 0 : If info = i , the element ( i , i ) of the factor U or L is zero, and the inverse could not be computed.

NOTE:

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Developer Reference for Intel® oneAPI Math Kernel Library for C

p?potri

Syntax

Include Files

Description

Input Parameters

Output Parameters