cungqr - N complex matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M
SUBROUTINE CUNGQR(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX A(LDA,*), TAU(*), WORKIN(*) INTEGER M, N, K, LDA, LWORKIN, INFO SUBROUTINE CUNGQR_64(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX A(LDA,*), TAU(*), WORKIN(*) INTEGER*8 M, N, K, LDA, LWORKIN, INFO F95 INTERFACE SUBROUTINE UNGQR(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX, DIMENSION(:) :: TAU, WORKIN COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, K, LDA, LWORKIN, INFO SUBROUTINE UNGQR_64(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX, DIMENSION(:) :: TAU, WORKIN COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, K, LDA, LWORKIN, INFO C INTERFACE #include <sunperf.h> void cungqr(int m, int n, int k, complex *a, int lda, complex *tau, int *info); void cungqr_64(long m, long n, long k, complex *a, long lda, complex *tau, long *info);
Oracle Solaris Studio Performance Library cungqr(3P) NAME cungqr - generate an M-by-N complex matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M SYNOPSIS SUBROUTINE CUNGQR(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX A(LDA,*), TAU(*), WORKIN(*) INTEGER M, N, K, LDA, LWORKIN, INFO SUBROUTINE CUNGQR_64(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX A(LDA,*), TAU(*), WORKIN(*) INTEGER*8 M, N, K, LDA, LWORKIN, INFO F95 INTERFACE SUBROUTINE UNGQR(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX, DIMENSION(:) :: TAU, WORKIN COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, K, LDA, LWORKIN, INFO SUBROUTINE UNGQR_64(M, N, K, A, LDA, TAU, WORKIN, LWORKIN, INFO) COMPLEX, DIMENSION(:) :: TAU, WORKIN COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, K, LDA, LWORKIN, INFO C INTERFACE #include <sunperf.h> void cungqr(int m, int n, int k, complex *a, int lda, complex *tau, int *info); void cungqr_64(long m, long n, long k, complex *a, long lda, complex *tau, long *info); PURPOSE cungqr generates an M-by-N complex matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M Q = H(1) * H(2) . . . H(k) as returned by CGEQRF. ARGUMENTS M (input) The number of rows of the matrix Q. M >= 0. N (input) The number of columns of the matrix Q. M >= N >= 0. K (input) The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0. A (input/output) On entry, the i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGEQRF in the first k columns of its array argu- ment 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 CGEQRF. WORKIN (workspace) On exit, if INFO = 0, WORKIN(1) returns the optimal LWORKIN. LWORKIN (input) The dimension of the array WORKIN. LWORKIN >= max(1,N). For optimum performance LWORKIN >= N*NB, where NB is the optimal blocksize. If LWORKIN = -1, then a workspace query is assumed; the rou- tine only calculates the optimal size of the WORKIN array, returns this value as the first entry of the WORKIN array, and no error message related to LWORKIN is issued by XERBLA. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value 7 Nov 2015 cungqr(3P)