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Left division operator
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From: |
Pascal A. Dupuis |
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Subject: |
Left division operator |
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Date: |
Fri, 12 Mar 2004 08:59:04 +0100 |
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User-agent: |
Mutt/1.5.5.1+cvs20040105i |
Hello,
from octave doc, it is said that the left division operator can be
used to solve overdetermined problems: find x which minimises
norm(Ax-B) => x=A\B
It is also stated that it does not compute the inverse of
A. Translation: it does not use the normal equation (A'*A)*x=A'*B. Right ?
Just curious: which proceduce is used ? Householder transformation of
A? Singular values decomposition ? Other ? In fact, this matters
mainly in the case of a badly conditionned A (nearly linear dependance
between columns).
TIA
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
- Left division operator,
Pascal A. Dupuis <=