SORM2R - overwrite the general real m by n matrix C with
Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE =
'L' and TRANS = 'T', or C * Q if SIDE = 'R' and TRANS =
'N', or C * Q' if SIDE = 'R' and TRANS = 'T',
SYNOPSIS
SUBROUTINE SORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C,
LDC, WORK, INFO )
CHARACTER SIDE, TRANS
INTEGER INFO, K, LDA, LDC, M, N
REAL A( LDA, * ), C( LDC, * ), TAU( * ),
WORK( * )
PURPOSE
SORM2R overwrites the general real m by n matrix C with Q
* C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L'
and TRANS = 'T', or C * Q if SIDE = 'R' and TRANS = 'N',
or C * Q' if SIDE = 'R' and TRANS = 'T', where Q is a real
orthogonal matrix defined as the product of k elementary
reflectors
Q = H(1) H(2) . . . H(k)
as returned by SGEQRF. 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)
= 'T': apply Q' (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.
A (input) REAL array, dimension (LDA,K)
The i-th column must contain the vector which
defines the elementary reflector H(i), for i =
columns 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. If SIDE =
'L', LDA >= max(1,M); if SIDE = 'R', LDA >=
max(1,N).
TAU (input) REAL array, dimension (K)
TAU(i) must contain the scalar factor of the ele
mentary reflector H(i), as returned by SGEQRF.
C (input/output) REAL 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) REAL 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 ille
gal value
Man(1) output converted with
man2html