CUNMR3 - Online Linux Manual PageSection : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)

NAMECUNMR3 - overwrites the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',

SYNOPSISSUBROUTINE CUNMR3(  SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO )  CHARACTER SIDE, TRANS  INTEGER INFO, K, L, LDA, LDC, M, N  COMPLEX A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSECUNMR3 overwrites the general complex m by n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectors

      Q = H(1) H(2) . . . H(k)
as returned by CTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.

ARGUMENTSSIDE (input) CHARACTER*1  = 'L': apply Q or Q' from the Left
= 'R': apply Q or Q' from the Right
TRANS (input) CHARACTER*1  
= 'N': apply Q (No transpose)
= 'C': apply Q' (Conjugate transpose)
M (input) INTEGER  The number of rows of the matrix C. M >= 0. N (input) INTEGER  The number of columns of the matrix C. N >= 0. K (input) INTEGER  The number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0. L (input) INTEGER  The number of columns of the matrix A containing the meaningful part of the Householder reflectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. A (input) COMPLEX array, dimension  (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CTZRZF in the last k rows of its array argument A. A is modified by the routine but restored on exit. LDA (input) INTEGER  The leading dimension of the array A. LDA >= max(1,K). TAU (input) COMPLEX array, dimension (K)  TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CTZRZF. C (input/output) COMPLEX array, dimension (LDC,N)  On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q. LDC (input) INTEGER  The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) COMPLEX array, dimension  (N) if SIDE = 'L', (M) if SIDE = 'R' INFO (output) INTEGER  = 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

FURTHER DETAILSBased on contributions by

  A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
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Johanes Gumabo
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