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CUNG2R(1) LAPACK routine (version 3.2) CUNG2R(1)[top]NAMECUNG2R- generates an m by n complex matrix Q with orthonormal columns,SYNOPSISSUBROUTINE CUNG2R( M, N, K, A, LDA, TAU, WORK, INFO ) INTEGER INFO, K, LDA, M, N COMPLEX A( LDA, * ), TAU( * ), WORK( * )PURPOSECUNG2Rgenerates 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.ARGUMENTSM (input) INTEGER The number of rows of the matrix Q. M >= 0. N (input) INTEGER The number of columns of the matrix Q. M >= N >= 0. K (input) INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0. A (input/output) COMPLEX array, dimension (LDA,N) 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 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) COMPLEX array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflecā tor H(i), as returned by CGEQRF. WORK (workspace) COMPLEX array, dimension (N) INFO (output) INTEGER = 0: successful exit < 0: if INFO =, the i-th argument has an illegal value LAPACK routine (version 3.2) November 2008 CUNG2R(1)-i

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