zunmr2 - torization determined by zgerqf (unblocked algorithm)
SUBROUTINE ZUNMR2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, K, LDA, LDC, INFO SUBROUTINE ZUNMR2_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, K, LDA, LDC, INFO F95 INTERFACE SUBROUTINE UNMR2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, INFO SUBROUTINE UNMR2_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, INFO C INTERFACE #include <sunperf.h> void zunmr2(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmr2_64(char side, char trans, long m, long n, long k, double- complex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info);
Oracle Solaris Studio Performance Library zunmr2(3P) NAME zunmr2 - multiply a general matrix by the unitary matrix from a RQ fac- torization determined by zgerqf (unblocked algorithm) SYNOPSIS SUBROUTINE ZUNMR2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, K, LDA, LDC, INFO SUBROUTINE ZUNMR2_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, K, LDA, LDC, INFO F95 INTERFACE SUBROUTINE UNMR2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, INFO SUBROUTINE UNMR2_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, INFO C INTERFACE #include <sunperf.h> void zunmr2(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmr2_64(char side, char trans, long m, long n, long k, double- complex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info); PURPOSE zunmr2 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 * H(2)**H . . . H(K)**H as returned by ZGERQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. ARGUMENTS SIDE (input) = 'L': apply Q or Q' from the Left = 'R': apply Q or Q' from the Right TRANS (input) = 'N': apply Q (No transpose) = 'C': apply Q' (Conjugate transpose) M (input) The number of rows of the matrix C. M >= 0. N (input) The number of columns of the matrix C. N >= 0. K (input) 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) (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must contain the vector which defines the elementary reflec- tor H(i), for i = 1,2,...,k, as returned by ZGERQF in the last k rows of its array argument A. A is modified by the routine but restored on exit. LDA (input) The leading dimension of the array A. LDA >= max(1,K). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF. C (input/output) 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) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) (N) if SIDE = 'L', (M) if SIDE = 'R' INFO (output) = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value. 7 Nov 2015 zunmr2(3P)