unmr3#

Functions

void cunmr3(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const INT            l,
          c64*  restrict A,
    const INT            lda,
    const c64*  restrict tau,
          c64*  restrict C,
    const INT            ldc,
          c64*  restrict work,
          INT*           info
);
void cunmr3(const char *side, const char *trans, const INT m, const INT n, const INT k, const INT l, c64 *restrict A, const INT lda, const c64 *restrict tau, c64 *restrict C, const INT ldc, c64 *restrict work, INT *info)#

CUNMR3 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(2) . . . H(k)
as returned by CTZRZF. 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 the matrix C. m >= 0.

in
n

The number of columns of the matrix 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
l

The number of columns of the matrix A containing the meaningful part of the Householder reflectors. If SIDE = ‘L’, m >= l >= 0; if SIDE = ‘R’, n >= l >= 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 = 1,2,…,k, as returned by CTZRZF 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 the array 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 CTZRZF.

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 the array 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

Functions

void zunmr3(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const INT            l,
          c128* restrict A,
    const INT            lda,
    const c128* restrict tau,
          c128* restrict C,
    const INT            ldc,
          c128* restrict work,
          INT*           info
);
void zunmr3(const char *side, const char *trans, const INT m, const INT n, const INT k, const INT l, c128 *restrict A, const INT lda, const c128 *restrict tau, c128 *restrict C, const INT ldc, c128 *restrict work, INT *info)#

ZUNMR3 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(2) . . . H(k)
as returned by ZTZRZF. 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 the matrix C. m >= 0.

in
n

The number of columns of the matrix 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
l

The number of columns of the matrix A containing the meaningful part of the Householder reflectors. If SIDE = ‘L’, m >= l >= 0; if SIDE = ‘R’, n >= l >= 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 = 1,2,…,k, as returned by ZTZRZF 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 the array 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 ZTZRZF.

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 the array 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

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