zunmqr - N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
SUBROUTINE ZUNMQR(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 ZUNMQR_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 UNMQR(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 UNMQR_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 zunmqr(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmqr_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 zunmqr(3P) NAME zunmqr - overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N' SYNOPSIS SUBROUTINE ZUNMQR(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 ZUNMQR_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 UNMQR(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 UNMQR_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 zunmqr(char side, char trans, int m, int n, int k, doublecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmqr_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 zunmqr overwrites the general complex M-by-N matrix C with 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(2) . . . H(k) as returned by ZGEQRF. 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': Conjugate 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) The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGEQRF in the first k columns of its array argument A. A is modified by the routine but restored on exit. LDA (input) The leading dimension of the array A. If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEQRF. 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 zunmqr(3P)