?sytrs

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/15/2026

Version

Public

?sytrs_aa

Solves a system of linear equations A * X = B with a symmetric matrix.

Syntax

lapack_int LAPACKE_ssytrs_aa(int matrix_layout, char uplo, lapack_int n, lapack_int nrhs,
                             const float *A, lapack_int lda, const lapack_int *ipiv,
                             float *B, lapack_int ldb);

lapack_int LAPACKE_dsytrs_aa(int matrix_layout, char uplo, lapack_int n, lapack_int nrhs,
                             const double *A, lapack_int lda, const lapack_int *ipiv,
                             double *B, lapack_int ldb);

lapack_int LAPACKE_csytrs_aa(int matrix_layout, char uplo, lapack_int n, lapack_int nrhs,
                             const lapack_complex_float *A, lapack_int lda,
                             const lapack_int *ipiv, lapack_complex_float *B,
                             lapack_int ldb);

lapack_int LAPACKE_zsytrs_aa(int matrix_layout, char uplo, lapack_int n, lapack_int nrhs,
                             const lapack_complex_double *A, lapack_int lda,
                             const lapack_int *ipiv, lapack_complex_double *B,
                             lapack_int ldb);

Description

?sytrs_aa solves a system of linear equations \(A * X = B\) with a symmetric matrix \(A\) using the factorization \(A = U*T*U^T\) or \(A = L*T*L^T\) computed by ?sytrf_aa .

Input Parameters

matrix_layout: Specifies whether matrix storage layout is row major ( LAPACK_ROW_MAJOR ) or column major ( LAPACK_COL_MAJOR ).

uplo: CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.

n: Specifies the order of the matrix A . The value of n must be at least zero.

nrhs

INTEGER The number of right-hand sides; that is, the number of columns of the matrix B. nrhs ≥ 0.

A

REAL for ssytrs_aa DOUBLE COMPLEX for dsytrs_aa COMPLEX for csytrs_aa COMPLEX*16 for zsytrs_aa

Array of size max(1, lda * n ). Details of factors computed by ?sytrf_aa .

lda

INTEGER

The leading dimension of the array A .

ipiv

INTEGER

Array of size n . Details of the interchanges as computed by ?sytrf_aa .

B

REAL for ssytrs_aa DOUBLE COMPLEX for dsytrs_aa COMPLEX for csytrs_aa COMPLEX*16 for zsytrs_aa

Array of size max(1, ldb * nrhs ). On entry, the right-hand side matrix B.

ldb

INTEGER

The leading dimension of the array B . ldb ≥ max(1, n ) for column-major layout and ldb ≥ nrhs for row-major layout.

work

Array, dimension (MAX(1, lwork )). REAL for ssytrs_aa DOUBLE COMPLEX for dsytrs_aa COMPLEX for csytrs_aa COMPLEX*16 for zsytrs_aa

lwork

INTEGER The length of the array work .

Output Parameters

B: REAL for ssytrs_aa DOUBLE COMPLEX for dsytrs_aa COMPLEX for csytrs_aa COMPLEX*16 for zsytrs_aa On exit, the solution matrix X.

Return Values

This function returns a value info .

If info = 0, the execution is successful.
If info = -i , the i^th argument had an illegal value.

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?sytrs_aa

Syntax

Description

Input Parameters

Output Parameters

Return Values