lasyf_rook#

Functions

void slasyf_rook(
    const char*          uplo,
    const INT            n,
    const INT            nb,
          INT*           kb,
          f32*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          f32*  restrict W,
    const INT            ldw,
          INT*           info
);
void slasyf_rook(const char *uplo, const INT n, const INT nb, INT *kb, f32 *restrict A, const INT lda, INT *restrict ipiv, f32 *restrict W, const INT ldw, INT *info)#

SLASYF_ROOK computes a partial factorization of a real symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method.

Parameters

in
uplo

= ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

in
nb

The maximum number of columns to factor. nb >= 2.

out
kb

The number of columns actually factored.

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. On exit, details of the partial factorization.

in
lda

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

out
ipiv

Integer array, dimension (n). Details of the interchanges and block structure.

out
W

Double precision array, dimension (ldw, nb).

in
ldw

The leading dimension of W. ldw >= max(1, n).

out
info

  • = 0: successful exit

  • > 0: if info = k, D(k,k) is exactly zero.

Functions

void dlasyf_rook(
    const char*          uplo,
    const INT            n,
    const INT            nb,
          INT*           kb,
          f64*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          f64*  restrict W,
    const INT            ldw,
          INT*           info
);
void dlasyf_rook(const char *uplo, const INT n, const INT nb, INT *kb, f64 *restrict A, const INT lda, INT *restrict ipiv, f64 *restrict W, const INT ldw, INT *info)#

DLASYF_ROOK computes a partial factorization of a real symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method.

Parameters

in
uplo

= ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

in
nb

The maximum number of columns to factor. nb >= 2.

out
kb

The number of columns actually factored.

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. On exit, details of the partial factorization.

in
lda

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

out
ipiv

Integer array, dimension (n). Details of the interchanges and block structure.

out
W

Double precision array, dimension (ldw, nb).

in
ldw

The leading dimension of W. ldw >= max(1, n).

out
info

  • = 0: successful exit

  • > 0: if info = k, D(k,k) is exactly zero.

Functions

void clasyf_rook(
    const char*          uplo,
    const INT            n,
    const INT            nb,
          INT*           kb,
          c64*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          c64*  restrict W,
    const INT            ldw,
          INT*           info
);
void clasyf_rook(const char *uplo, const INT n, const INT nb, INT *kb, c64 *restrict A, const INT lda, INT *restrict ipiv, c64 *restrict W, const INT ldw, INT *info)#

CLASYF_ROOK computes a partial factorization of a complex symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method.

Parameters

in
uplo

= ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

in
nb

The maximum number of columns to factor. nb >= 2.

out
kb

The number of columns actually factored.

inout
A

Single complex array, dimension (lda, n). On entry, the symmetric matrix A. On exit, details of the partial factorization.

in
lda

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

out
ipiv

Integer array, dimension (n). Details of the interchanges and block structure.

out
W

Single complex array, dimension (ldw, nb).

in
ldw

The leading dimension of W. ldw >= max(1, n).

out
info

  • = 0: successful exit

  • > 0: if info = k, D(k,k) is exactly zero.

Functions

void zlasyf_rook(
    const char*          uplo,
    const INT            n,
    const INT            nb,
          INT*           kb,
          c128* restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          c128* restrict W,
    const INT            ldw,
          INT*           info
);
void zlasyf_rook(const char *uplo, const INT n, const INT nb, INT *kb, c128 *restrict A, const INT lda, INT *restrict ipiv, c128 *restrict W, const INT ldw, INT *info)#

ZLASYF_ROOK computes a partial factorization of a complex symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method.

Parameters

in
uplo

= ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

in
nb

The maximum number of columns to factor. nb >= 2.

out
kb

The number of columns actually factored.

inout
A

Double complex array, dimension (lda, n). On entry, the symmetric matrix A. On exit, details of the partial factorization.

in
lda

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

out
ipiv

Integer array, dimension (n). Details of the interchanges and block structure.

out
W

Double complex array, dimension (ldw, nb).

in
ldw

The leading dimension of W. ldw >= max(1, n).

out
info

  • = 0: successful exit

  • > 0: if info = k, D(k,k) is exactly zero.