zunghr - generate a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD
SUBROUTINE ZUNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE ZUNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DOUBLE 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(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE UNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO C INTERFACE #include <sunperf.h> void zunghr(int n, int ilo, int ihi, doublecomplex *a, int lda, double- complex *tau, int *info); void zunghr_64(long n, long ilo, long ihi, doublecomplex *a, long lda, doublecomplex *tau, long *info);
Oracle Solaris Studio Performance Library zunghr(3P) NAME zunghr - generate a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD SYNOPSIS SUBROUTINE ZUNGHR(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE ZUNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DOUBLE 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(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, ILO, IHI, LDA, LWORK, INFO SUBROUTINE UNGHR_64(N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, ILO, IHI, LDA, LWORK, INFO C INTERFACE #include <sunperf.h> void zunghr(int n, int ilo, int ihi, doublecomplex *a, int lda, double- complex *tau, int *info); void zunghr_64(long n, long ilo, long ihi, doublecomplex *a, long lda, doublecomplex *tau, long *info); PURPOSE zunghr generates a complex unitary matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD: 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 ZGEHRD. 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 ZGEHRD. 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 ZGEHRD. 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 zunghr(3P)