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complex16_eig(3) LAPACK complex16_eig(3)

NAME

complex16_eig

SYNOPSIS

Functions


subroutine zlarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK)
ZLARFY

Detailed Description

This is the group of complex16 LAPACK TESTING EIG routines.

Function Documentation

subroutine zlarfy (character UPLO, integer N, complex*16, dimension( * ) V, integer INCV, complex*16 TAU, complex*16, dimension( ldc, * ) C, integer LDC, complex*16, dimension( * ) WORK)

ZLARFY

Purpose:

 ZLARFY applies an elementary reflector, or Householder matrix, H,
 to an n x n Hermitian 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
          Hermitian 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 COMPLEX*16 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 COMPLEX*16
          The value tau as described above.

C

          C is COMPLEX*16 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 COMPLEX*16 array, dimension (N)

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

December 2016

Author

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