zgelq2.f (3)  Linux Manuals
NAME
zgelq2.f 
SYNOPSIS
Functions/Subroutines
subroutine zgelq2 (M, N, A, LDA, TAU, WORK, INFO)
ZGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm.
Function/Subroutine Documentation
subroutine zgelq2 (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerINFO)
ZGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm.
Purpose:

ZGELQ2 computes an LQ factorization of a complex m by n matrix A: A = L * Q.
Parameters:

M
M is INTEGER The number of rows of the matrix A. M >= 0.
NN is INTEGER The number of columns of the matrix A. N >= 0.
AA is COMPLEX*16 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 trapezoidal matrix L (L is lower triangular if m <= n); the elements above the diagonal, with the array TAU, represent the unitary matrix Q as a product of elementary reflectors (see Further Details).
LDALDA is INTEGER The leading dimension of the array A. LDA >= max(1,M).
TAUTAU is COMPLEX*16 array, dimension (min(M,N)) The scalar factors of the elementary reflectors (see Further Details).
WORKWORK is COMPLEX*16 array, dimension (M)
INFOINFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 September 2012
Further Details:

The matrix Q is represented as a product of elementary reflectors Q = H(k)**H . . . H(2)**H H(1)**H, where k = min(m,n). Each H(i) has the form H(i) = I  tau * v * v**H where tau is a complex scalar, and v is a complex vector with v(1:i1) = 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).
Definition at line 122 of file zgelq2.f.
Author
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