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'economy size' qr ?
From: |
Pascal A. Dupuis |
Subject: |
'economy size' qr ? |
Date: |
Thu, 6 Jan 2005 09:47:52 -0600 |
User-agent: |
Mutt/1.5.6+20040907i |
Hello,
I would like to solve a overdetermined set of equation Ax=B, where
A is C m x n
x is R n x 1
B is C m x 1
In order for x to be real, the problem is augmented as:
[ A; conj(A) ] x = [b; conj(b)]
The first step is to compute
[qq, qr] =qr([A , b; conj(A) conj(b)]);
qr is a n+1 x n+1 upper real triangular matrix
then the resolution is performed using various approaches on qr.
Given that
1) qq is not needed (2m x 2m complex matrix !)
2) although A and b are complex, qr is real
are there simpler approaches in order to obtain qr, skipping the qq
computation ?
Thanks in advance
Pascal
--
Dr. ir. Pascal Dupuis
K. U. Leuven, ESAT/ELECTA (formerly ELEN): http://www.esat.kuleuven.ac.be/
Kasteelpark Arenberg, 10; B-3001 Leuven-Heverlee, Belgium
Tel. +32-16-32 10 21 -- Fax +32-16-32 19 85
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- 'economy size' qr ?,
Pascal A. Dupuis <=