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

NAME
       SRC/dormlq.f

SYNOPSIS
   Functions/Subroutines
       subroutine dormlq (side, trans, m, n, k, a, lda, tau, c, ldc, work,
           lwork, info)
           DORMLQ

Function/Subroutine Documentation
   subroutine dormlq (character side, character trans, integer m, integer n,
       integer k, double precision, dimension( lda, * ) a, integer lda, double
       precision, dimension( * ) tau, double precision, dimension( ldc, * ) c,
       integer ldc, double precision, dimension( * ) work, integer lwork,
       integer info)
       DORMLQ

       Purpose:


           !>
           !> DORMLQ 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(k) . . . H(2) H(1)
           !>
           !> as returned by DGELQF. 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;
           !>          = 'T':  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.
           !>

           A

           !>          A is DOUBLE PRECISION 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
           !>          DGELQF in the first k rows of its array argument A.
           !>

           LDA

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

           TAU

           !>          TAU is DOUBLE PRECISION array, dimension (K)
           !>          TAU(i) must contain the scalar factor of the elementary
           !>          reflector H(i), as returned by DGELQF.
           !>

           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 or Q**T*C or 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, dimension (MAX(1,LWORK))
           !>          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
           !>

           LWORK

           !>          LWORK is INTEGER
           !>          The dimension of the array WORK.
           !>          If SIDE = 'L', LWORK >= max(1,N);
           !>          if SIDE = 'R', LWORK >= max(1,M).
           !>          For good performance, LWORK should generally be larger.
           !>
           !>          If LWORK = -1, then a workspace query is assumed; the routine
           !>          only calculates the optimal size of the WORK array, returns
           !>          this value as the first entry of the WORK array, and no error
           !>          message related to LWORK is issued by XERBLA.
           !>

           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 165 of file dormlq.f.

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

LAPACK                          Version 3.12.0                 SRC/dormlq.f(3)