CUNM2R(1) LAPACK routine (version 3.2) CUNM2R(1)[top]NAMECUNM2R- 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 CUNM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER SIDE, TRANS INTEGER INFO, K, LDA, LDC, M, N COMPLEX A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )PURPOSECUNM2Roverwrites the general complex m-by-n matrix C with where Q is a complex unitary matrix defined as the product of k elementary reflec‐ tors Q = H(1) H(2) . . . H(k) as returned by CGEQRF. 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. A (input) COMPLEX array, dimension (LDA,K) The i-th column must contain the vector which defines the ele‐ mentary reflector H(i), for i = 1,2,...,k, as returned by CGE‐ QRF in the first k columns of its array argument A. A is modi‐ fied 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) COMPLEX array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflec‐ tor H(i), as returned by CGEQRF. 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 =, the i-th argument had an illegal value LAPACK routine (version 3.2) November 2008 CUNM2R(1)-i

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