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( * )
PURPOSE
CUNMR3 overwrites the general complex m by n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflectorsQ = 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) - 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 byA. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA