zunmhr - N matrix C with Q*C or Q**H*C or C*Q**H or C*Q
SUBROUTINE ZUNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, ILO, IHI, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, ILO, IHI, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMHR(SIDE, TRANS, M, N, ILO, IHI, 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, ILO, IHI, LDA, LDC, LWORK, INFO SUBROUTINE UNMHR_64(SIDE, TRANS, M, N, ILO, IHI, 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, ILO, IHI, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmhr(char side, char trans, int m, int n, int ilo, int ihi, dou- blecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmhr_64(char side, char trans, long m, long n, long ilo, long ihi, doublecomplex *a, long lda, doublecomplex *tau, double- complex *c, long ldc, long *info);
Oracle Solaris Studio Performance Library zunmhr(3P) NAME zunmhr - overwrite the general complex M-by-N matrix C with Q*C or Q**H*C or C*Q**H or C*Q SYNOPSIS SUBROUTINE ZUNMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, ILO, IHI, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, ILO, IHI, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMHR(SIDE, TRANS, M, N, ILO, IHI, 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, ILO, IHI, LDA, LDC, LWORK, INFO SUBROUTINE UNMHR_64(SIDE, TRANS, M, N, ILO, IHI, 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, ILO, IHI, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmhr(char side, char trans, int m, int n, int ilo, int ihi, dou- blecomplex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmhr_64(char side, char trans, long m, long n, long ilo, long ihi, doublecomplex *a, long lda, doublecomplex *tau, double- complex *c, long ldc, long *info); PURPOSE zunmhr 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 of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of IHI-ILO elementary reflectors, as returned by ZGEHRD: Q = H(ilo) * H(ilo+1) . . . H(ihi-1). ARGUMENTS SIDE (input) = 'L': apply Q or Q**H from the Left; = 'R': apply Q or Q**H from the Right. TRANS (input) = 'N': apply Q (No transpose) = 'C': apply Q**H (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. ILO (input) ILO and IHI must have the same values as in the previous call of ZGEHRD. Q is equal to the unit matrix except in the subma- trix Q(ilo+1:ihi,ilo+1:ihi). If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and ILO = 1 and IHI = 0, if M = 0; if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and ILO = 1 and IHI = 0, if N = 0. IHI (input) See the description of ILO. A (input) (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by ZGEHRD. LDA (input) The leading dimension of the array A. LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. TAU (input) (M-1) if SIDE = 'L' (N-1) if SIDE = 'R' TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEHRD. 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 zunmhr(3P)