zgelqf - N matrix A
SUBROUTINE ZGELQF(M, N, A, LDA, TAU, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER M, N, LDA, LDWORK, INFO SUBROUTINE ZGELQF_64(M, N, A, LDA, TAU, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 M, N, LDA, LDWORK, INFO F95 INTERFACE SUBROUTINE GELQF(M, N, A, LDA, TAU, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: M, N, LDA, LDWORK, INFO SUBROUTINE GELQF_64(M, N, A, LDA, TAU, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: M, N, LDA, LDWORK, INFO C INTERFACE #include <sunperf.h> void zgelqf(int m, int n, doublecomplex *a, int lda, doublecomplex *tau, int *info); void zgelqf_64(long m, long n, doublecomplex *a, long lda, doublecom- plex *tau, long *info);
Oracle Solaris Studio Performance Library zgelqf(3P) NAME zgelqf - compute an LQ factorization of a complex M-by-N matrix A SYNOPSIS SUBROUTINE ZGELQF(M, N, A, LDA, TAU, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER M, N, LDA, LDWORK, INFO SUBROUTINE ZGELQF_64(M, N, A, LDA, TAU, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), TAU(*), WORK(*) INTEGER*8 M, N, LDA, LDWORK, INFO F95 INTERFACE SUBROUTINE GELQF(M, N, A, LDA, TAU, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: M, N, LDA, LDWORK, INFO SUBROUTINE GELQF_64(M, N, A, LDA, TAU, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: M, N, LDA, LDWORK, INFO C INTERFACE #include <sunperf.h> void zgelqf(int m, int n, doublecomplex *a, int lda, doublecomplex *tau, int *info); void zgelqf_64(long m, long n, doublecomplex *a, long lda, doublecom- plex *tau, long *info); PURPOSE zgelqf computes an LQ factorization of a complex M-by-N matrix A: A = L * Q. ARGUMENTS M (input) The number of rows of the matrix A. M >= 0. N (input) The number of columns of the matrix A. N >= 0. A (input/output) On entry, the M-by-N matrix A. On exit, the elements on and below the diagonal of the array contain the m-by-min(m,n) lower trapezoidal matrix L (L is lower triangular if m <= n); the elements above the diagonal, with the array TAU, repre- sent the unitary matrix Q as a product of elementary reflec- tors (see Further Details). LDA (input) The leading dimension of the array A. LDA >= max(1,M). TAU (output) The scalar factors of the elementary reflectors (see Further Details). WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LDWORK. LDWORK (input) The dimension of the array WORK. LDWORK >= max(1,M). For optimum performance LDWORK >= M*NB, where NB is the optimal blocksize. If LDWORK = -1, then a workspace query is assumed; the rou- tine 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 LDWORK is issued by XERBLA. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value FURTHER DETAILS The matrix Q is represented as a product of elementary reflectors Q = H(k)' . . . H(2)' H(1)', where k = min(m,n). Each H(i) has the form H(i) = I - tau * v * v' where tau is a complex scalar, and v is a complex vector with v(1:i-1) = 0 and v(i) = 1; conjg(v(i+1:n)) is stored on exit in A(i,i+1:n), and tau in TAU(i). 7 Nov 2015 zgelqf(3P)