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## man page of LAPACK-3

### LAPACK-3: applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right

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## NAME

LAPACK-3 - applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right## SYNOPSIS

SUBROUTINE ZLARFX( SIDE, M, N, V, TAU, C, LDC, WORK ) IMPLICIT NONE CHARACTER SIDE INTEGER LDC, M, N COMPLEX*16 TAU COMPLEX*16 C( LDC, * ), V( * ), WORK( * )## PURPOSE

ZLARFX applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v' where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix This version uses inline code if H has order < 11.## ARGUMENTS

SIDE (input) CHARACTER*1 = 'L': form H * C = 'R': form C * H M (input) INTEGER The number of rows of the matrix C. N (input) INTEGER The number of columns of the matrix C. V (input) COMPLEX*16 array, dimension (M) if SIDE = 'L' or (N) if SIDE = 'R' The vector v in the representation of H. TAU (input) COMPLEX*16 The value tau in the representation of H. C (input/output) COMPLEX*16 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 (input) INTEGER The leading dimension of the array C. LDA >= max(1,M). WORK (workspace) COMPLEX*16 array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R' WORK is not referenced if H has order < 11. LAPACK auxiliary routine (versionMarch 2011 LAPACK-3(3)

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