sytrs#

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, A = U*D*U**T = ‘L’: Lower triangular, A = L*D*L**T

in
n

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

in
nrhs

The number of right hand sides. nrhs >= 0.

in
A

Double precision array, 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 A. lda >= max(1, n).

in
ipiv

Integer array, dimension (n). The pivot indices from SSYTRF.

inout
B

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

in
ldb

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

out
info

  • = 0: successful exit

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

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, A = U*D*U**T = ‘L’: Lower triangular, A = L*D*L**T

in
n

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

in
nrhs

The number of right hand sides. nrhs >= 0.

in
A

Double precision array, 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 A. lda >= max(1, n).

in
ipiv

Integer array, dimension (n). The pivot indices from DSYTRF.

inout
B

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

in
ldb

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

out
info

  • = 0: successful exit

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

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, A = U*D*U**T = ‘L’: Lower triangular, A = L*D*L**T

in
n

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

in
nrhs

The number of right hand sides. nrhs >= 0.

in
A

Single complex array, 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 A. lda >= max(1, n).

in
ipiv

Integer array, dimension (n). The pivot indices from CSYTRF.

inout
B

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

in
ldb

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

out
info

  • = 0: successful exit

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

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, A = U*D*U**T = ‘L’: Lower triangular, A = L*D*L**T

in
n

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

in
nrhs

The number of right hand sides. nrhs >= 0.

in
A

Double complex array, 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 A. lda >= max(1, n).

in
ipiv

Integer array, dimension (n). The pivot indices from ZSYTRF.

inout
B

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

in
ldb

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

out
info

  • = 0: successful exit

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

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