zungr2 - torization determined by cgerqf (unblocked algorithm)
SUBROUTINE ZUNGR2(M, N, K, A, LDA, TAU, WORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER M, N, K, LDA, INFO SUBROUTINE ZUNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 M, N, K, LDA, INFO F95 INTERFACE SUBROUTINE UNGR2(M, N, K, A, LDA, TAU, WORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: M, N, K, LDA, INFO SUBROUTINE UNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: M, N, K, LDA, INFO C INTERFACE #include <sunperf.h> void zungr2(int m, int n, int k, doublecomplex *a, int lda, doublecom- plex *tau, int *info); void zungr2_64(long m, long n, long k, doublecomplex *a, long lda, dou- blecomplex *tau, long *info);
Oracle Solaris Studio Performance Library zungr2(3P) NAME zungr2 - generate all or part of the unitary matrix Q from an RQ fac- torization determined by cgerqf (unblocked algorithm) SYNOPSIS SUBROUTINE ZUNGR2(M, N, K, A, LDA, TAU, WORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER M, N, K, LDA, INFO SUBROUTINE ZUNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 M, N, K, LDA, INFO F95 INTERFACE SUBROUTINE UNGR2(M, N, K, A, LDA, TAU, WORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: M, N, K, LDA, INFO SUBROUTINE UNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: M, N, K, LDA, INFO C INTERFACE #include <sunperf.h> void zungr2(int m, int n, int k, doublecomplex *a, int lda, doublecom- plex *tau, int *info); void zungr2_64(long m, long n, long k, doublecomplex *a, long lda, dou- blecomplex *tau, long *info); PURPOSE zungr2 generates an M by N complex matrix Q with orthonormal rows, which is defined as the last M rows of a product of K elementary reflectors of order N Q = H(1)**H * H(2)**H . . . H(K)**H as returned by ZGERQF. ARGUMENTS M (input) The number of rows of the matrix Q. M >= 0. N (input) The number of columns of the matrix Q. N >= M. K (input) The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. A (input/output) On entry, the (m-k+i)-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGERQF in the last k rows of its array argument A. On exit, the m-by-n matrix Q. LDA (input) The first dimension of the array A. LDA >= max(1,M). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF. WORK (workspace) dimension(M) INFO (output) = 0: successful exit; < 0: if INFO = -i, the i-th argument has an illegal value. 7 Nov 2015 zungr2(3P)