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

NAME
       SRC/dgemlqt.f

SYNOPSIS
   Functions/Subroutines
       subroutine dgemlqt (side, trans, m, n, k, mb, v, ldv, t, ldt, c, ldc,
           work, info)
           DGEMLQT

Function/Subroutine Documentation
   subroutine dgemlqt (character side, character trans, integer m, integer n,
       integer k, integer mb, double precision, dimension( ldv, * ) v, integer
       ldv, double precision, dimension( ldt, * ) t, integer ldt, double
       precision, dimension( ldc, * ) c, integer ldc, double precision,
       dimension( * ) work, integer info)
       DGEMLQT

       Purpose:


           !>
           !> DGEMLQT overwrites the general real M-by-N matrix C with
           !>
           !>                 SIDE = 'L'     SIDE = 'R'
           !> TRANS = 'N':      Q C            C Q
           !> TRANS = 'T':   Q**T C            C Q**T
           !>
           !> where Q is a real orthogonal matrix defined as the product of K
           !> elementary reflectors:
           !>
           !>       Q = H(1) H(2) . . . H(K) = I - V T V**T
           !>
           !> generated using the compact WY representation as returned by DGELQT.
           !>
           !> 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**T from the Left;
           !>          = 'R': apply Q or Q**T from the Right.
           !>

           TRANS

           !>          TRANS is CHARACTER*1
           !>          = 'N':  No transpose, apply Q;
           !>          = 'C':  Transpose, apply Q**T.
           !>

           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.
           !>

           MB

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

           V

           !>          V is DOUBLE PRECISION array, dimension
           !>                               (LDV,M) if SIDE = 'L',
           !>                               (LDV,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
           !>          DGELQT in the first K rows of its array argument A.
           !>

           LDV

           !>          LDV is INTEGER
           !>          The leading dimension of the array V.  LDV >= max(1,K).
           !>

           T

           !>          T is DOUBLE PRECISION array, dimension (LDT,K)
           !>          The upper triangular factors of the block reflectors
           !>          as returned by DGELQT, stored as a MB-by-K matrix.
           !>

           LDT

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

           C

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

           LDC

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

           WORK

           !>          WORK is DOUBLE PRECISION array. The dimension of
           !>          WORK is N*MB if SIDE = 'L', or  M*MB 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 dgemlqt.f.

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

LAPACK                          Version 3.12.0                SRC/dgemlqt.f(3)