Query: dgelq2
OS: redhat
Section: l
Format: Original Unix Latex Style Formatted with HTML and a Horizontal Scroll Bar
DGELQ2(l) ) DGELQ2(l)NAMEDGELQ2 - compute an LQ factorization of a real m by n matrix ASYNOPSISSUBROUTINE DGELQ2( M, N, A, LDA, TAU, WORK, INFO ) INTEGER INFO, LDA, M, N DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )PURPOSEDGELQ2 computes an LQ factorization of a real m by n matrix A: A = L * Q.ARGUMENTSM (input) INTEGER The number of rows of the matrix A. M >= 0. N (input) INTEGER The number of columns of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) 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 trape- zoidal matrix L (L is lower triangular if m <= n); the elements above the diagonal, with the array TAU, represent the orthogonal matrix Q as a product of elementary reflectors (see Further Details). LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,M). TAU (output) DOUBLE PRECISION array, dimension (min(M,N)) The scalar factors of the elementary reflectors (see Further Details). WORK (workspace) DOUBLE PRECISION array, dimension (M) INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal valueFURTHER DETAILSThe 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 real scalar, and v is a real vector with v(1:i-1) = 0 and v(i) = 1; v(i+1:n) is stored on exit in A(i,i+1:n), and tau in TAU(i). LAPACK version 3.0 15 June 2000 DGELQ2(l)