cgeqpf.f(3) LAPACK cgeqpf.f(3)NAMEcgeqpf.f-
subroutine cgeqpf (M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO)
subroutine cgeqpf (integerM, integerN, complex, dimension( lda, * )A,
integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU,
complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)
This routine is deprecated and has been replaced by routine CGEQP3.
CGEQPF computes a QR factorization with column pivoting of a
complex M-by-N matrix A: A*P = Q*R.
M is INTEGER
The number of rows of the matrix A. M >= 0.
N is INTEGER
The number of columns of the matrix A. N >= 0
A is COMPLEX array, dimension (LDA,N)
On entry, the M-by-N matrix A.
On exit, the upper triangle of the array contains the
min(M,N)-by-N upper triangular matrix R; the elements
below the diagonal, together with the array TAU,
represent the unitary matrix Q as a product of
min(m,n) elementary reflectors.
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
JPVT is INTEGER array, dimension (N)
On entry, if JPVT(i) .ne. 0, the i-th column of A is permuted
to the front of A*P (a leading column); if JPVT(i) = 0,
the i-th column of A is a free column.
On exit, if JPVT(i) = k, then the i-th column of A*P
was the k-th column of A.
TAU is COMPLEX array, dimension (min(M,N))
The scalar factors of the elementary reflectors.
WORK is COMPLEX array, dimension (N)
RWORK is REAL array, dimension (2*N)
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
The matrix Q is represented as a product of elementary reflectors
Q = H(1)H(2) . . . H(n)
Each H(i) has the form
H = I - tau * v * v**H
where tau is a complex scalar, and v is a complex vector with
v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i).
The matrix P is represented in jpvt as follows: If
jpvt(j) = i
then the jth column of P is the ith canonical unit vector.
Partial column norm updating strategy modified by
Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
University of Zagreb, Croatia.
-- April 2011 --
For more details see LAPACK Working Note 176.
Definition at line 149 of file cgeqpf.f.
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Version 3.4.2 Tue Sep 25 2012 cgeqpf.f(3)