
NAMEzungrq.f SYNOPSISFunctions/Subroutinessubroutine zungrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) Function/Subroutine Documentationsubroutine zungrq (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerLWORK, integerINFO)ZUNGRQ Purpose:ZUNGRQ generates an MbyN complex matrix Q with orthonormal rows, which is defined as the last M rows of a product of K elementary reflectors of order N Q = H(1)**H H(2)**H . . . H(k)**H as returned by ZGERQF. M
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M is INTEGER The number of rows of the matrix Q. M >= 0.N N is INTEGER The number of columns of the matrix Q. N >= M.K K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.A A is COMPLEX*16 array, dimension (LDA,N) On entry, the (mk+i)th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGERQF in the last k rows of its array argument A. On exit, the MbyN matrix Q.LDA LDA is INTEGER The first dimension of the array A. LDA >= max(1,M).TAU TAU is COMPLEX*16 array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF.WORK WORK is COMPLEX*16 array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.LWORK LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,M). For optimum performance LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = 1, then a workspace query is assumed; the routine 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 LWORK is issued by XERBLA.INFO INFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument has an illegal value Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 129 of file zungrq.f.
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