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

NAME
       SRC/slarz.f

SYNOPSIS
   Functions/Subroutines
       subroutine slarz (side, m, n, l, v, incv, tau, c, ldc, work)
           SLARZ applies an elementary reflector (as returned by stzrzf) to a
           general matrix.

Function/Subroutine Documentation
   subroutine slarz (character side, integer m, integer n, integer l, real,
       dimension( * ) v, integer incv, real tau, real, dimension( ldc, * ) c,
       integer ldc, real, dimension( * ) work)
       SLARZ applies an elementary reflector (as returned by stzrzf) to a
       general matrix.

       Purpose:


           !>
           !> SLARZ applies a real elementary reflector H to a real M-by-N
           !> matrix C, from either the left or the right. H is represented in the
           !> form
           !>
           !>       H = I - tau * v * v**T
           !>
           !> where tau is a real scalar and v is a real vector.
           !>
           !> If tau = 0, then H is taken to be the unit matrix.
           !>
           !>
           !> H is a product of k elementary reflectors as returned by STZRZF.
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': form  H * C
           !>          = 'R': form  C * H
           !>

           M

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

           N

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

           L

           !>          L is INTEGER
           !>          The number of entries of the vector V containing
           !>          the meaningful part of the Householder vectors.
           !>          If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
           !>

           V

           !>          V is REAL array, dimension (1+(L-1)*abs(INCV))
           !>          The vector v in the representation of H as returned by
           !>          STZRZF. V is not used if TAU = 0.
           !>

           INCV

           !>          INCV is INTEGER
           !>          The increment between elements of v. INCV <> 0.
           !>

           TAU

           !>          TAU is REAL
           !>          The value tau in the representation of H.
           !>

           C

           !>          C is REAL array, dimension (LDC,N)
           !>          On entry, the M-by-N matrix C.
           !>          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
           !>          or C * H if SIDE = 'R'.
           !>

           LDC

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

           WORK

           !>          WORK is REAL array, dimension
           !>                         (N) if SIDE = 'L'
           !>                      or (M) if SIDE = 'R'
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Contributors:
           A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

       Further Details:


           !>

       Definition at line 144 of file slarz.f.

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

LAPACK                          Version 3.12.0                  SRC/slarz.f(3)