unmr2#

cunmr2

Functions

void cunmr2(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
          c64*  restrict A,
    const INT            lda,
    const c64*  restrict tau,
          c64*  restrict C,
    const INT            ldc,
          c64*  restrict work,
          INT*           info
);

void cunmr2(const char *side, const char *trans, const INT m, const INT n, const INT k, c64 *restrict A, const INT lda, const c64 *restrict tau, c64 *restrict C, const INT ldc, c64 *restrict work, INT *info)#

CUNMR2 overwrites the general complex m-by-n matrix C with.

Q * C if SIDE = ‘L’ and TRANS = ‘N’, or

Q**H* C if SIDE = ‘L’ and TRANS = ‘C’, or

C * Q if SIDE = ‘R’ and TRANS = ‘N’, or

C * Q**H if SIDE = ‘R’ and TRANS = ‘C’,

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

Q = H(1)**H H(2)**H … H(k)**H

as returned by CGERQF. Q is of order m if SIDE = ‘L’ and of order n if SIDE = ‘R’.

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 whose product defines the matrix Q. If SIDE = ‘L’, m >= k >= 0; if SIDE = ‘R’, n >= k >= 0.

in

A

COMPLEX*16 array, dimension (lda, m) if SIDE = ‘L’, (lda, n) if SIDE = ‘R’. The i-th row must contain the vector which defines the elementary reflector H(i), for i = 0,1,…,k-1, as returned by CGERQF in the last k rows of its array argument A. A is modified by the routine but restored on exit.

in

lda

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

in

tau

COMPLEX*16 array, dimension (k). tau[i] must contain the scalar factor of the elementary reflector H(i), as returned by CGERQF.

inout

C

COMPLEX*16 array, dimension (ldc, n). 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

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

out

work

COMPLEX*16 array, dimension (n) if SIDE = ‘L’, (m) if SIDE = ‘R’.

out

info

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

zunmr2

Functions

void zunmr2(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
          c128* restrict A,
    const INT            lda,
    const c128* restrict tau,
          c128* restrict C,
    const INT            ldc,
          c128* restrict work,
          INT*           info
);

void zunmr2(const char *side, const char *trans, const INT m, const INT n, const INT k, c128 *restrict A, const INT lda, const c128 *restrict tau, c128 *restrict C, const INT ldc, c128 *restrict work, INT *info)#

ZUNMR2 overwrites the general complex m-by-n matrix C with.

Q * C if SIDE = ‘L’ and TRANS = ‘N’, or

Q**H* C if SIDE = ‘L’ and TRANS = ‘C’, or

C * Q if SIDE = ‘R’ and TRANS = ‘N’, or

C * Q**H if SIDE = ‘R’ and TRANS = ‘C’,

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

Q = H(1)**H H(2)**H … H(k)**H

as returned by ZGERQF. Q is of order m if SIDE = ‘L’ and of order n if SIDE = ‘R’.

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 whose product defines the matrix Q. If SIDE = ‘L’, m >= k >= 0; if SIDE = ‘R’, n >= k >= 0.

in

A

COMPLEX*16 array, dimension (lda, m) if SIDE = ‘L’, (lda, n) if SIDE = ‘R’. The i-th row must contain the vector which defines the elementary reflector H(i), for i = 0,1,…,k-1, as returned by ZGERQF in the last k rows of its array argument A. A is modified by the routine but restored on exit.

in

lda

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

in

tau

COMPLEX*16 array, dimension (k). tau[i] must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF.

inout

C

COMPLEX*16 array, dimension (ldc, n). 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

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

out

work

COMPLEX*16 array, dimension (n) if SIDE = ‘L’, (m) if SIDE = ‘R’.

out

info

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

unmr2#

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