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SORGL2(l)) SORGL2(l)NAMESORGL2 - generate an m by n real matrix Q with orthonormal rows,SYNOPSISSUBROUTINE SORGL2( M, N, K, A, LDA, TAU, WORK, INFO ) INTEGER INFO, K, LDA, M, N REAL A( LDA, * ), TAU( * ), WORK( * )PURPOSESORGL2 generates an m by n real matrix Q with orthonormal rows, which is defined as the first m rows of a product of k elementary reflectors of order n Q = H(k) . . . H(2) H(1) as returned by SGELQF.ARGUMENTSM (input) INTEGER The number of rows of the matrix Q. M >= 0. N (input) INTEGER The number of columns of the matrix Q. N >= M. K (input) INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. A (input/output) REAL array, dimension (LDA,N) On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGELQF in the first k rows of its array argument A. On exit, the m-by-n matrix Q. LDA (input) INTEGER The first dimension of the array A. LDA >= max(1,M). TAU (input) REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGELQF. WORK (workspace) REAL array, dimension (M) INFO (output) INTEGER = 0: successful exit < 0: if INFO =, the i-th argument has an illegal value-iLAPACK version 3.015 June 2000 SORGL2(l)

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