double_eig(3)

NAME
double_eig

SYNOPSIS

  Functions
subroutine dlarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK)
DLARFY

Detailed Description

This is the group of double LAPACK TESTING EIG routines.

Function Documentation

  subroutine dlarfy (character UPLO, integer N, double precision, dimension( * ) V, integer INCV, double precision TAU, double precision, dimension( ldc, * ) C, integer LDC, double precision, dimension( * ) WORK)

DLARFY

Purpose: @verbatim

DLARFY applies an elementary reflector, or Householder matrix, H, to an n x n symmetric matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v'

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix.

Parameters:
    UPLO

              UPLO is CHARACTER*1
              Specifies whether the upper or lower triangular part of the
              symmetric matrix C is stored.
              = 'U':  Upper triangle
              = 'L':  Lower triangle

    N

              N is INTEGER
              The number of rows and columns of the matrix C.  N >= 0.

    V

              V is DOUBLE PRECISION array, dimension
                      (1 + (N-1)*abs(INCV))
              The vector v as described above.

    INCV

              INCV is INTEGER
              The increment between successive elements of v.  INCV must
              not be zero.

    TAU

              TAU is DOUBLE PRECISION
              The value tau as described above.

    C

              C is DOUBLE PRECISION array, dimension (LDC, N)
              On entry, the matrix C.
              On exit, C is overwritten by H * C * H'.

    LDC

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

    WORK

              WORK is DOUBLE PRECISION array, dimension (N)

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    December 2016

Definition at line 110 of file dlarfy.f.

Author

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