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

NAME
       SRC/slarf.f

SYNOPSIS
   Functions/Subroutines
       subroutine slarf (side, m, n, v, incv, tau, c, ldc, work)
           SLARF applies an elementary reflector to a general rectangular
           matrix.

Function/Subroutine Documentation
   subroutine slarf (character side, integer m, integer n, real, dimension( *
       ) v, integer incv, real tau, real, dimension( ldc, * ) c, integer ldc,
       real, dimension( * ) work)
       SLARF applies an elementary reflector to a general rectangular matrix.

       Purpose:


            SLARF 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.

       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.

           V

                     V is REAL array, dimension
                                (1 + (M-1)*abs(INCV)) if SIDE = 'L'
                             or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
                     The vector v in the representation of H. 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.

       Definition at line 123 of file slarf.f.

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

LAPACK                          Version 3.12.0                  SRC/slarf.f(3)