dormhr - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q.
SUBROUTINE DORMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, ILO, IHI, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, ILO, IHI, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, ILO, IHI, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, ILO, IHI, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormhr(char side, char trans, int m, int n, int ilo, int ihi, dou- ble *a, int lda, double *tau, double *c, int ldc, int *info); void dormhr_64(char side, char trans, long m, long n, long ilo, long ihi, double *a, long lda, double *tau, double *c, long ldc, long *info);
Oracle Solaris Studio Performance Library dormhr(3P) NAME dormhr - overwrite the general real M-by-N matrix C with Q*C or Q**T*C or C*Q**T or C*Q. SYNOPSIS SUBROUTINE DORMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, ILO, IHI, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, ILO, IHI, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMHR(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, ILO, IHI, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMHR_64(SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, ILO, IHI, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormhr(char side, char trans, int m, int n, int ilo, int ihi, dou- ble *a, int lda, double *tau, double *c, int ldc, int *info); void dormhr_64(char side, char trans, long m, long n, long ilo, long ihi, double *a, long lda, double *tau, double *c, long ldc, long *info); PURPOSE dormhr overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal 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 DGEHRD: Q = H(ilo) H(ilo+1) . . . H(ihi-1). ARGUMENTS SIDE (input) = 'L': apply Q or Q**T from the Left; = 'R': apply Q or Q**T from the Right. TRANS (input) = 'N': No transpose, apply Q; = 'T': Transpose, apply Q**T. 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 DGEHRD. 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 DGEHRD. 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 DGEHRD. C (input/output) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**T*C or C*Q**T 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 dormhr(3P)