SRC/zgemqrt.f(3)           Library Functions Manual           SRC/zgemqrt.f(3)

NAME
       SRC/zgemqrt.f

SYNOPSIS
   Functions/Subroutines
       subroutine zgemqrt (side, trans, m, n, k, nb, v, ldv, t, ldt, c, ldc,
           work, info)
           ZGEMQRT

Function/Subroutine Documentation
   subroutine zgemqrt (character side, character trans, integer m, integer n,
       integer k, integer nb, complex*16, dimension( ldv, * ) v, integer ldv,
       complex*16, dimension( ldt, * ) t, integer ldt, complex*16, dimension(
       ldc, * ) c, integer ldc, complex*16, dimension( * ) work, integer info)
       ZGEMQRT

       Purpose:


           !>
           !> ZGEMQRT 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 orthogonal matrix defined as the product of K
           !> elementary reflectors:
           !>
           !>       Q = H(1) H(2) . . . H(K) = I - V T V**H
           !>
           !> generated using the compact WY representation as returned by ZGEQRT.
           !>
           !> Q is of order M if SIDE = 'L' and of order N  if SIDE = 'R'.
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': apply Q or Q**H from the Left;
           !>          = 'R': apply Q or Q**H from the Right.
           !>

           TRANS

           !>          TRANS is CHARACTER*1
           !>          = 'N':  No transpose, apply Q;
           !>          = 'C':  Conjugate transpose, apply Q**H.
           !>

           M

           !>          M is INTEGER
           !>          The number of rows of the matrix C. M >= 0.
           !>

           N

           !>          N is INTEGER
           !>          The number of columns of the matrix C. N >= 0.
           !>

           K

           !>          K is INTEGER
           !>          The number of elementary reflectors whose product defines
           !>          the matrix Q.
           !>          If SIDE = 'L', M >= K >= 0;
           !>          if SIDE = 'R', N >= K >= 0.
           !>

           NB

           !>          NB is INTEGER
           !>          The block size used for the storage of T.  K >= NB >= 1.
           !>          This must be the same value of NB used to generate T
           !>          in ZGEQRT.
           !>

           V

           !>          V is COMPLEX*16 array, dimension (LDV,K)
           !>          The i-th column must contain the vector which defines the
           !>          elementary reflector H(i), for i = 1,2,...,k, as returned by
           !>          ZGEQRT in the first K columns of its array argument A.
           !>

           LDV

           !>          LDV is INTEGER
           !>          The leading dimension of the array V.
           !>          If SIDE = 'L', LDA >= max(1,M);
           !>          if SIDE = 'R', LDA >= max(1,N).
           !>

           T

           !>          T is COMPLEX*16 array, dimension (LDT,K)
           !>          The upper triangular factors of the block reflectors
           !>          as returned by ZGEQRT, stored as a NB-by-N matrix.
           !>

           LDT

           !>          LDT is INTEGER
           !>          The leading dimension of the array T.  LDT >= NB.
           !>

           C

           !>          C is COMPLEX*16 array, dimension (LDC,N)
           !>          On entry, the M-by-N matrix C.
           !>          On exit, C is overwritten by Q C, Q**H C, C Q**H or C Q.
           !>

           LDC

           !>          LDC is INTEGER
           !>          The leading dimension of the array C. LDC >= max(1,M).
           !>

           WORK

           !>          WORK is COMPLEX*16 array. The dimension of WORK is
           !>           N*NB if SIDE = 'L', or  M*NB if SIDE = 'R'.
           !>

           INFO

           !>          INFO is INTEGER
           !>          = 0:  successful exit
           !>          < 0:  if INFO = -i, the i-th argument had an illegal value
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 166 of file zgemqrt.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                SRC/zgemqrt.f(3)