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

NAME
       SRC/dopmtr.f

SYNOPSIS
   Functions/Subroutines
       subroutine dopmtr (side, uplo, trans, m, n, ap, tau, c, ldc, work,
           info)
           DOPMTR

Function/Subroutine Documentation
   subroutine dopmtr (character side, character uplo, character trans, integer
       m, integer n, double precision, dimension( * ) ap, double precision,
       dimension( * ) tau, double precision, dimension( ldc, * ) c, integer
       ldc, double precision, dimension( * ) work, integer info)
       DOPMTR

       Purpose:


           !>
           !> DOPMTR 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 of order nq, with nq = m if
           !> SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
           !> nq-1 elementary reflectors, as returned by DSPTRD using packed
           !> storage:
           !>
           !> if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);
           !>
           !> if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': apply Q or Q**T from the Left;
           !>          = 'R': apply Q or Q**T from the Right.
           !>

           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U': Upper triangular packed storage used in previous
           !>                 call to DSPTRD;
           !>          = 'L': Lower triangular packed storage used in previous
           !>                 call to DSPTRD.
           !>

           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.
           !>

           AP

           !>          AP is DOUBLE PRECISION array, dimension
           !>                               (M*(M+1)/2) if SIDE = 'L'
           !>                               (N*(N+1)/2) if SIDE = 'R'
           !>          The vectors which define the elementary reflectors, as
           !>          returned by DSPTRD.  AP is modified by the routine but
           !>          restored on exit.
           !>

           TAU

           !>          TAU is DOUBLE PRECISION array, dimension (M-1) if SIDE = 'L'
           !>                                     or (N-1) if SIDE = 'R'
           !>          TAU(i) must contain the scalar factor of the elementary
           !>          reflector H(i), as returned by DSPTRD.
           !>

           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
           !>                                   (N) if SIDE = 'L'
           !>                                   (M) 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 148 of file dopmtr.f.

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

LAPACK                          Version 3.12.0                 SRC/dopmtr.f(3)