CUNMR3 man page on IRIX

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CUNMR3(3S)							    CUNMR3(3S)

NAME
     CUNMR3 - overwrite 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',

SYNOPSIS
     SUBROUTINE 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( * )

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

PURPOSE
     CUNMR3 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',
     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'.

ARGUMENTS
     SIDE    (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)

									Page 1

CUNMR3(3S)							    CUNMR3(3S)

     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 DETAILS
     Based on contributions by
       A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

									Page 2

CUNMR3(3S)							    CUNMR3(3S)

SEE ALSO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)

     This man page is available only online.

									Page 3

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