sytrs#

ssytrs

Functions

void ssytrs(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const f32*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          f32*  restrict B,
    const INT            ldb,
          INT*           info
);

void ssytrs(const char *uplo, const INT n, const INT nrhs, const f32 *restrict A, const INT lda, const INT *restrict ipiv, f32 *restrict B, const INT ldb, INT *info)#

SSYTRS solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by SSYTRF.

Parameters

in

uplo

'U': Upper triangular, form is A = U*D*U**T
'L': Lower triangular, form is A = L*D*L**T

in

n

The order of the matrix A. n>=0.

in

nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in

A

Array of dimension (lda,n). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ssytrf.

in

lda

The leading dimension of the array A. lda>=max(1,n).

in

ipiv

Array of dimension n. Details of the interchanges and the block structure of D as determined by ssytrf.

inout

B

Array of dimension (ldb,nrhs). On entry, the right hand side matrix B. On exit, the solution matrix X.

in

ldb

The leading dimension of the array B. ldb>=max(1,n).

out

info

info=0: successful exit
info<0: if info=-i, the i-th argument had an illegal value

dsytrs

Functions

void dsytrs(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const f64*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          f64*  restrict B,
    const INT            ldb,
          INT*           info
);

void dsytrs(const char *uplo, const INT n, const INT nrhs, const f64 *restrict A, const INT lda, const INT *restrict ipiv, f64 *restrict B, const INT ldb, INT *info)#

DSYTRS solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF.

Parameters

in

uplo

'U': Upper triangular, form is A = U*D*U**T
'L': Lower triangular, form is A = L*D*L**T

in

n

The order of the matrix A. n>=0.

in

nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in

A

Array of dimension (lda,n). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by dsytrf.

in

lda

The leading dimension of the array A. lda>=max(1,n).

in

ipiv

Array of dimension n. Details of the interchanges and the block structure of D as determined by dsytrf.

inout

B

Array of dimension (ldb,nrhs). On entry, the right hand side matrix B. On exit, the solution matrix X.

in

ldb

The leading dimension of the array B. ldb>=max(1,n).

out

info

info=0: successful exit
info<0: if info=-i, the i-th argument had an illegal value

csytrs

Functions

void csytrs(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const c64*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c64*  restrict B,
    const INT            ldb,
          INT*           info
);

void csytrs(const char *uplo, const INT n, const INT nrhs, const c64 *restrict A, const INT lda, const INT *restrict ipiv, c64 *restrict B, const INT ldb, INT *info)#

CSYTRS solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF.

Parameters

in

uplo

'U': Upper triangular, form is A = U*D*U**T
'L': Lower triangular, form is A = L*D*L**T

in

n

The order of the matrix A. n>=0.

in

nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in

A

Complex array of dimension (lda,n). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by csytrf.

in

lda

The leading dimension of the array A. lda>=max(1,n).

in

ipiv

Array of dimension n. Details of the interchanges and the block structure of D as determined by csytrf.

inout

B

Complex array of dimension (ldb,nrhs). On entry, the right hand side matrix B. On exit, the solution matrix X.

in

ldb

The leading dimension of the array B. ldb>=max(1,n).

out

info

info=0: successful exit
info<0: if info=-i, the i-th argument had an illegal value

zsytrs

Functions

void zsytrs(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const c128* restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c128* restrict B,
    const INT            ldb,
          INT*           info
);

void zsytrs(const char *uplo, const INT n, const INT nrhs, const c128 *restrict A, const INT lda, const INT *restrict ipiv, c128 *restrict B, const INT ldb, INT *info)#

ZSYTRS solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF.

Parameters

in

uplo

'U': Upper triangular, form is A = U*D*U**T
'L': Lower triangular, form is A = L*D*L**T

in

n

The order of the matrix A. n>=0.

in

nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in

A

Complex array of dimension (lda,n). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by zsytrf.

in

lda

The leading dimension of the array A. lda>=max(1,n).

in

ipiv

Array of dimension n. Details of the interchanges and the block structure of D as determined by zsytrf.

inout

B

Complex array of dimension (ldb,nrhs). On entry, the right hand side matrix B. On exit, the solution matrix X.

in

ldb

The leading dimension of the array B. ldb>=max(1,n).

out

info

info=0: successful exit
info<0: if info=-i, the i-th argument had an illegal value