unmql#

cunmql

Functions

void cunmql(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const c64*  restrict A,
    const INT            lda,
    const c64*  restrict tau,
          c64*  restrict C,
    const INT            ldc,
          c64*  restrict work,
    const INT            lwork,
          INT*           info
);

void cunmql(const char *side, const char *trans, const INT m, const INT n, const INT k, const c64 *restrict A, const INT lda, const c64 *restrict tau, c64 *restrict C, const INT ldc, c64 *restrict work, const INT lwork, INT *info)#

CUNMQL overwrites the general complex M-by-N matrix C with.

         SIDE = 'L'     SIDE = 'R'

TRANS = ‘N’: Q * C C * Q TRANS = ‘C’: Q^H * C C * Q^H

where Q is a complex unitary matrix defined as the product of k elementary reflectors

Q = H(k-1) … H(1) H(0)

as returned by CGEQLF. Q is of order M if SIDE = ‘L’ and of order N if SIDE = ‘R’.

This is the blocked Level 3 BLAS version of the algorithm.

Parameters

in

side

‘L’: apply Q or Q^H from the Left; ‘R’: apply Q or Q^H from the Right.

in

trans

‘N’: apply Q (No transpose); ‘C’: apply Q^H (Conjugate transpose).

in

m

The number of rows of C. m >= 0.

in

n

The number of columns of C. n >= 0.

in

k

The number of elementary reflectors. If SIDE = “L”, m >= k >= 0; if SIDE = “R”, n >= k >= 0.

in

A

The i-th column must contain the vector which defines the elementary reflector H(i), as returned by CGEQLF in the last k columns. Dimension (lda, k).

in

lda

Leading dimension of A. If SIDE = “L”, lda >= max(1, m); if SIDE = “R”, lda >= max(1, n).

in

tau

Array of dimension (k). TAU(i) is the scalar factor of H(i), as returned by CGEQLF.

inout

C

On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q^H*C or C*Q^H or C*Q.

in

ldc

Leading dimension of C. ldc >= max(1, m).

out

work

Workspace, dimension (max(1, lwork)). On exit, work[0] contains the optimal lwork.

in

lwork

Dimension of work. If SIDE = “L”, lwork >= max(1, n); if SIDE = “R”, lwork >= max(1, m). If lwork == -1, workspace query only.

out

info

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

zunmql

Functions

void zunmql(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const c128* restrict A,
    const INT            lda,
    const c128* restrict tau,
          c128* restrict C,
    const INT            ldc,
          c128* restrict work,
    const INT            lwork,
          INT*           info
);

void zunmql(const char *side, const char *trans, const INT m, const INT n, const INT k, const c128 *restrict A, const INT lda, const c128 *restrict tau, c128 *restrict C, const INT ldc, c128 *restrict work, const INT lwork, INT *info)#

ZUNMQL overwrites the general complex M-by-N matrix C with.

         SIDE = 'L'     SIDE = 'R'

TRANS = ‘N’: Q * C C * Q TRANS = ‘C’: Q^H * C C * Q^H

where Q is a complex unitary matrix defined as the product of k elementary reflectors

Q = H(k-1) … H(1) H(0)

as returned by ZGEQLF. Q is of order M if SIDE = ‘L’ and of order N if SIDE = ‘R’.

This is the blocked Level 3 BLAS version of the algorithm.

Parameters

in

side

‘L’: apply Q or Q^H from the Left; ‘R’: apply Q or Q^H from the Right.

in

trans

‘N’: apply Q (No transpose); ‘C’: apply Q^H (Conjugate transpose).

in

m

The number of rows of C. m >= 0.

in

n

The number of columns of C. n >= 0.

in

k

The number of elementary reflectors. If SIDE = “L”, m >= k >= 0; if SIDE = “R”, n >= k >= 0.

in

A

The i-th column must contain the vector which defines the elementary reflector H(i), as returned by ZGEQLF in the last k columns. Dimension (lda, k).

in

lda

Leading dimension of A. If SIDE = “L”, lda >= max(1, m); if SIDE = “R”, lda >= max(1, n).

in

tau

Array of dimension (k). TAU(i) is the scalar factor of H(i), as returned by ZGEQLF.

inout

C

On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q^H*C or C*Q^H or C*Q.

in

ldc

Leading dimension of C. ldc >= max(1, m).

out

work

Workspace, dimension (max(1, lwork)). On exit, work[0] contains the optimal lwork.

in

lwork

Dimension of work. If SIDE = “L”, lwork >= max(1, n); if SIDE = “R”, lwork >= max(1, m). If lwork == -1, workspace query only.

out

info

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

unmql#

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