cunghr - generate a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by CGEHRD
SUBROUTINE CUNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE CUNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO F95 INTERFACE SUBROUTINE UNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX, DIMENSION(:) :: TAU, WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE UNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX, DIMENSION(:) :: TAU, WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO C INTERFACE #include <sunperf.h> void cunghr(int n, int ilo, int ihi, complex *a, int lda, complex *tau, int *info); void cunghr_64(long n, long ilo, long ihi, complex *a, long lda, com- plex *tau, long *info);
Oracle Solaris Studio Performance Library cunghr(3P) NAME cunghr - generate a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by CGEHRD SYNOPSIS SUBROUTINE CUNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE CUNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 N, ILO, IHI, LDA, LWORK, INFO F95 INTERFACE SUBROUTINE UNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX, DIMENSION(:) :: TAU, WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE UNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX, DIMENSION(:) :: TAU, WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO C INTERFACE #include <sunperf.h> void cunghr(int n, int ilo, int ihi, complex *a, int lda, complex *tau, int *info); void cunghr_64(long n, long ilo, long ihi, complex *a, long lda, com- plex *tau, long *info); PURPOSE cunghr generates a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by CGEHRD: 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 CGEHRD. 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 IHI. A (input/output) On entry, the vectors which define the elementary reflectors, as returned by CGEHRD. On exit, the N-by-N unitary 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 CGEHRD. 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 cunghr(3P)