zunmrq - N matrix C with Q*C, or Q**H*C, or C*Q**H, or C*Q, where Q is a complex unitary matrix defined as the product of K elementary reflectors
SUBROUTINE ZUNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, K, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, LWORK, INFO SUBROUTINE UNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmrq(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmrq_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 zunmrq(3P) NAME zunmrq - overwrite the general complex M-by-N matrix C with Q*C, or Q**H*C, or C*Q**H, or C*Q, where Q is a complex unitary matrix defined as the product of K elementary reflectors SYNOPSIS SUBROUTINE ZUNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, K, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, LWORK, INFO SUBROUTINE UNMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmrq(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmrq_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 zunmrq overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q**H * C C * Q**H 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**H from the Left; = 'R': apply Q or Q**H from the Right. TRANS (input) = 'N': No transpose, apply Q; = 'C': Transpose, apply Q**H. 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**H*C or C*Q**H or C*Q. LDC (input) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. LWORK (input) The dimension of the array WORK. If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M). For optimum per- formance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE = 'R', where NB is the optimal blocksize. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. INFO (output) = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value. 7 Nov 2015 zunmrq(3P)