slarfx.f(3)

NAME
slarfx.f -

SYNOPSIS

  Functions/Subroutines

subroutine slarfx (SIDE, M, N, V, TAU, C, LDC, WORK)
SLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Function/Subroutine Documentation

  subroutine slarfx (characterSIDE, integerM, integerN, real, dimension( * )V, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK)

SLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Purpose:

     SLARFX 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

     This version uses inline code if H has order < 11.

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 (M) if SIDE = 'L'
                                         or (N) if SIDE = 'R'
              The vector v in the representation of H.

    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. LDA >= (1,M).

    WORK

              WORK is REAL array, dimension
                          (N) if SIDE = 'L'
                          or (M) if SIDE = 'R'
              WORK is not referenced if H has order < 11.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    September 2012

Definition at line 121 of file slarfx.f.

Author

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