sorghr - generate a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by SGEHRD
SUBROUTINE SORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER N, ILO, IHI, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) SUBROUTINE SORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO REAL 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, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A SUBROUTINE ORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sorghr(int n, int ilo, int ihi, float *a, int lda, float *tau, int *info); void sorghr_64(long n, long ilo, long ihi, float *a, long lda, float *tau, long *info);
Oracle Solaris Studio Performance Library sorghr(3P) NAME sorghr - generate a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by SGEHRD SYNOPSIS SUBROUTINE SORGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER N, ILO, IHI, LDA, LWORK, INFO REAL A(LDA,*), TAU(*), WORK(*) SUBROUTINE SORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO REAL 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, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A SUBROUTINE ORGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sorghr(int n, int ilo, int ihi, float *a, int lda, float *tau, int *info); void sorghr_64(long n, long ilo, long ihi, float *a, long lda, float *tau, long *info); PURPOSE sorghr generates a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by SGEHRD: 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 SGEHRD. 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 SGEHRD. 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 SGEHRD. 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 sorghr(3P)