cunmr3 - torization determined by ctzrzf (unblocked algorithm)
SUBROUTINE CUNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER INFO, K, L, LDA, LDC, M, N COMPLEX A(LDA,*), C(LDC,*), TAU(*),WORK(*) SUBROUTINE CUNMR3_64( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER*8 INFO, K, L, LDA, LDC, M, N COMPLEX A(LDA,*), C(LDC,*), TAU(*),WORK(*) F95 INTERFACE SUBROUTINE UNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) INTEGER :: M, N, K, L, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX, DIMENSION(:,:) :: A, C COMPLEX, DIMENSION(:) :: TAU, WORK SUBROUTINE UNMR3_64( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) INTEGER(8) :: M, N, K, L, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX, DIMENSION(:,:) :: A, C COMPLEX, DIMENSION(:) :: TAU, WORK C INTERFACE #include <sunperf.h> void cunmr3 (char side, char trans, int m, int n, int k, int l, float- complex *a, int lda, floatcomplex *tau, floatcomplex *c, int ldc, int *info); void cunmr3_64 (char side, char trans, long m, long n, long k, long l, floatcomplex *a, long lda, floatcomplex *tau, floatcomplex *c, long ldc, long *info);
Oracle Solaris Studio Performance Library cunmr3(3P) NAME cunmr3 - multiply a general matrix by the unitary matrix from a RZ fac- torization determined by ctzrzf (unblocked algorithm) SYNOPSIS SUBROUTINE CUNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER INFO, K, L, LDA, LDC, M, N COMPLEX A(LDA,*), C(LDC,*), TAU(*),WORK(*) SUBROUTINE CUNMR3_64( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER*8 INFO, K, L, LDA, LDC, M, N COMPLEX A(LDA,*), C(LDC,*), TAU(*),WORK(*) F95 INTERFACE SUBROUTINE UNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) INTEGER :: M, N, K, L, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX, DIMENSION(:,:) :: A, C COMPLEX, DIMENSION(:) :: TAU, WORK SUBROUTINE UNMR3_64( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO ) INTEGER(8) :: M, N, K, L, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX, DIMENSION(:,:) :: A, C COMPLEX, DIMENSION(:) :: TAU, WORK C INTERFACE #include <sunperf.h> void cunmr3 (char side, char trans, int m, int n, int k, int l, float- complex *a, int lda, floatcomplex *tau, floatcomplex *c, int ldc, int *info); void cunmr3_64 (char side, char trans, long m, long n, long k, long l, floatcomplex *a, long lda, floatcomplex *tau, floatcomplex *c, long ldc, long *info); PURPOSE cunmr3 overwrites the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**H* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**H if SIDE = 'R' and TRANS = 'C', where Q is a complex unitary matrix defined as the product of k elemen- tary 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) SIDE is CHARACTER*1 = 'L': apply Q or Q**H from the Left = 'R': apply Q or Q**H from the Right TRANS (input) TRANS is CHARACTER*1 = 'N': apply Q (No transpose) = 'C': apply Q**H (Conjugate transpose) M (input) M is INTEGER The number of rows of the matrix C. M >= 0. N (input) N is INTEGER The number of columns of the matrix C. N >= 0. K (input) K is 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) L is 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) A is 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) LDA is INTEGER The leading dimension of the array A. LDA >= max(1,K). TAU (input) TAU is COMPLEX array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CTZRZF. C (input/output) C is COMPLEX array, dimension (LDC,N) On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. LDC (input) LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M). WORK (output) WORK is COMPLEX array, dimension (N) if SIDE = 'L', (M) if SIDE = 'R' INFO (output) INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 cunmr3(3P)