?sytrs

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

?sytrs_aa

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

Syntax

lapack_intLAPACKE_ssytrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constfloat*A , lapack_intlda , constlapack_int*ipiv , float*B , lapack_intldb );

lapack_intLAPACKE_dsytrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constdouble*A , lapack_intlda , constlapack_int*ipiv , double*B , lapack_intldb );

lapack_intLAPACKE_csytrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_float*A , lapack_intlda , constlapack_int*ipiv , lapack_complex_float*B , lapack_intldb );

lapack_intLAPACKE_zsytrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_double*A , lapack_intlda , constlapack_int*ipiv , lapack_complex_double*B , lapack_intldb );

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

INTEGER The order of the matrix A. n ≥ 0.

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