sytf2_rook#

Functions

void ssytf2_rook(
    const char*          uplo,
    const INT            n,
          f32*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          INT*           info
);
void ssytf2_rook(const char *uplo, const INT n, f32 *restrict A, const INT lda, INT *restrict ipiv, INT *info)#

SSYTF2_ROOK computes the factorization of a real symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method:

A = U*D*U**T or A = L*D*L**T

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters

in
uplo

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

in
n

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

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. On exit, the block diagonal matrix D and the multipliers.

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
info

  • = 0: successful exit

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

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

Functions

void dsytf2_rook(
    const char*          uplo,
    const INT            n,
          f64*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          INT*           info
);
void dsytf2_rook(const char *uplo, const INT n, f64 *restrict A, const INT lda, INT *restrict ipiv, INT *info)#

DSYTF2_ROOK computes the factorization of a real symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method:

A = U*D*U**T or A = L*D*L**T

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters

in
uplo

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

in
n

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

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. On exit, the block diagonal matrix D and the multipliers.

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
info

  • = 0: successful exit

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

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

Functions

void csytf2_rook(
    const char*          uplo,
    const INT            n,
          c64*  restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          INT*           info
);
void csytf2_rook(const char *uplo, const INT n, c64 *restrict A, const INT lda, INT *restrict ipiv, INT *info)#

CSYTF2_ROOK computes the factorization of a complex symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method:

A = U*D*U**T or A = L*D*L**T

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters

in
uplo

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

in
n

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

inout
A

Single complex array, dimension (lda, n). On entry, the symmetric matrix A. On exit, the block diagonal matrix D and the multipliers.

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
info

  • = 0: successful exit

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

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

Functions

void zsytf2_rook(
    const char*          uplo,
    const INT            n,
          c128* restrict A,
    const INT            lda,
          INT*  restrict ipiv,
          INT*           info
);
void zsytf2_rook(const char *uplo, const INT n, c128 *restrict A, const INT lda, INT *restrict ipiv, INT *info)#

ZSYTF2_ROOK computes the factorization of a complex symmetric matrix A using the bounded Bunch-Kaufman (“rook”) diagonal pivoting method:

A = U*D*U**T or A = L*D*L**T

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters

in
uplo

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

in
n

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

inout
A

Double complex array, dimension (lda, n). On entry, the symmetric matrix A. On exit, the block diagonal matrix D and the multipliers.

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
info

  • = 0: successful exit

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

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