dorghr - generate a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by DGEHRD
SUBROUTINE DORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER N, ILO, IHI, LDA, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*) SUBROUTINE DORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER :: N, ILO, IHI, LDA, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A SUBROUTINE ORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dorghr(int n, int ilo, int ihi, double *a, int lda, double *tau, int *info); void dorghr_64(long n, long ilo, long ihi, double *a, long lda, double *tau, long *info);
Oracle Solaris Studio Performance Library dorghr(3P) NAME dorghr - generate a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by DGEHRD SYNOPSIS SUBROUTINE DORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER N, ILO, IHI, LDA, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*) SUBROUTINE DORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER :: N, ILO, IHI, LDA, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A SUBROUTINE ORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dorghr(int n, int ilo, int ihi, double *a, int lda, double *tau, int *info); void dorghr_64(long n, long ilo, long ihi, double *a, long lda, double *tau, long *info); PURPOSE dorghr generates a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by DGEHRD: Q = H(ilo) H(ilo+1) . . . H(ihi-1). ARGUMENTS N (input) The order of the matrix Q. 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). 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0. IHI (input) See the description of ILO. A (input/output) On entry, the vectors which define the elementary reflectors, as returned by DGEHRD. On exit, the N-by-N orthogonal matrix Q. LDA (input) The leading dimension of the array A. LDA >= max(1,N). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGEHRD. WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. LWORK (input) The dimension of the array WORK. LWORK >= IHI-ILO. For opti- mum performance LWORK >= (IHI-ILO)*NB, where NB is the opti- mal 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 dorghr(3P)