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complex(3) LAPACK complex(3)

NAME

complex -

Functions


subroutine clarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK)
 
CLARFY

Detailed Description

This is the group of complex LAPACK TESTING EIG routines.

Function Documentation

subroutine clarfy (characterUPLO, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)

CLARFY
Purpose:
 CLARFY 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 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
          The value tau as described above.
C
          C is COMPLEX 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 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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