sytrs_aa_2stage

ssytrs_aa_2stage

Functions

void ssytrs_aa_2stage(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const f32*  restrict A,
    const INT            lda,
          f32*  restrict TB,
    const INT            ltb,
    const INT*  restrict ipiv,
    const INT*  restrict ipiv2,
          f32*  restrict B,
    const INT            ldb,
          INT*           info
);

void ssytrs_aa_2stage(const char *uplo, const INT n, const INT nrhs, const f32 *restrict A, const INT lda, f32 *restrict TB, const INT ltb, const INT *restrict ipiv, const INT *restrict ipiv2, f32 *restrict B, const INT ldb, INT *info)

SSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by SSYTRF_AA_2STAGE.

Parameters

in

uplo

Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = ‘U’: Upper triangular, form is A = U**T*T*U; = ‘L’: Lower triangular, form is A = L*T*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

Double precision array, dimension (lda, n). Details of factors computed by SSYTRF_AA_2STAGE.

in

lda

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

in

TB

Double precision array, dimension (ltb). Details of factors computed by SSYTRF_AA_2STAGE.

in

ltb

The size of the array TB. ltb >= 4*n.

in

ipiv

Integer array, dimension (n). Details of the interchanges as computed by SSYTRF_AA_2STAGE.

in

ipiv2

Integer array, dimension (n). Details of the interchanges as computed by SSYTRF_AA_2STAGE.

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 the array B. ldb >= max(1, n).

out

info

• = 0: successful exit

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

dsytrs_aa_2stage

Functions

void dsytrs_aa_2stage(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const f64*  restrict A,
    const INT            lda,
          f64*  restrict TB,
    const INT            ltb,
    const INT*  restrict ipiv,
    const INT*  restrict ipiv2,
          f64*  restrict B,
    const INT            ldb,
          INT*           info
);

void dsytrs_aa_2stage(const char *uplo, const INT n, const INT nrhs, const f64 *restrict A, const INT lda, f64 *restrict TB, const INT ltb, const INT *restrict ipiv, const INT *restrict ipiv2, f64 *restrict B, const INT ldb, INT *info)

DSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by DSYTRF_AA_2STAGE.

Parameters

in

uplo

Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = ‘U’: Upper triangular, form is A = U**T*T*U; = ‘L’: Lower triangular, form is A = L*T*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

Double precision array, dimension (lda, n). Details of factors computed by DSYTRF_AA_2STAGE.

in

lda

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

in

TB

Double precision array, dimension (ltb). Details of factors computed by DSYTRF_AA_2STAGE.

in

ltb

The size of the array TB. ltb >= 4*n.

in

ipiv

Integer array, dimension (n). Details of the interchanges as computed by DSYTRF_AA_2STAGE.

in

ipiv2

Integer array, dimension (n). Details of the interchanges as computed by DSYTRF_AA_2STAGE.

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 the array B. ldb >= max(1, n).

out

info

• = 0: successful exit

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

csytrs_aa_2stage

Functions

void csytrs_aa_2stage(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const c64*  restrict A,
    const INT            lda,
          c64*  restrict TB,
    const INT            ltb,
    const INT*  restrict ipiv,
    const INT*  restrict ipiv2,
          c64*  restrict B,
    const INT            ldb,
          INT*           info
);

void csytrs_aa_2stage(const char *uplo, const INT n, const INT nrhs, const c64 *restrict A, const INT lda, c64 *restrict TB, const INT ltb, const INT *restrict ipiv, const INT *restrict ipiv2, c64 *restrict B, const INT ldb, INT *info)

CSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by CSYTRF_AA_2STAGE.

Parameters

in

uplo

Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = ‘U’: Upper triangular, form is A = U**T*T*U; = ‘L’: Lower triangular, form is A = L*T*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

Single complex array, dimension (lda, n). Details of factors computed by CSYTRF_AA_2STAGE.

in

lda

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

in

TB

Single complex array, dimension (ltb). Details of factors computed by CSYTRF_AA_2STAGE.

in

ltb

The size of the array TB. ltb >= 4*n.

in

ipiv

Integer array, dimension (n). Details of the interchanges as computed by CSYTRF_AA_2STAGE.

in

ipiv2

Integer array, dimension (n). Details of the interchanges as computed by CSYTRF_AA_2STAGE.

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 the array B. ldb >= max(1, n).

out

info

• = 0: successful exit

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

zsytrs_aa_2stage

Functions

void zsytrs_aa_2stage(
    const char*          uplo,
    const INT            n,
    const INT            nrhs,
    const c128* restrict A,
    const INT            lda,
          c128* restrict TB,
    const INT            ltb,
    const INT*  restrict ipiv,
    const INT*  restrict ipiv2,
          c128* restrict B,
    const INT            ldb,
          INT*           info
);

void zsytrs_aa_2stage(const char *uplo, const INT n, const INT nrhs, const c128 *restrict A, const INT lda, c128 *restrict TB, const INT ltb, const INT *restrict ipiv, const INT *restrict ipiv2, c128 *restrict B, const INT ldb, INT *info)

ZSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by ZSYTRF_AA_2STAGE.

Parameters

in

uplo

Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = ‘U’: Upper triangular, form is A = U**T*T*U; = ‘L’: Lower triangular, form is A = L*T*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

Double complex array, dimension (lda, n). Details of factors computed by ZSYTRF_AA_2STAGE.

in

lda

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

in

TB

Double complex array, dimension (ltb). Details of factors computed by ZSYTRF_AA_2STAGE.

in

ltb

The size of the array TB. ltb >= 4*n.

in

ipiv

Integer array, dimension (n). Details of the interchanges as computed by ZSYTRF_AA_2STAGE.

in

ipiv2

Integer array, dimension (n). Details of the interchanges as computed by ZSYTRF_AA_2STAGE.

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 the array B. ldb >= max(1, n).

out

info

• = 0: successful exit

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