From octave-maintainers-request at bevo dot che dot wisc dot edu Fri Mar 12 02:00:22 2004 Subject: Left division operator From: "Pascal A. Dupuis" To: octave-maintainers at bevo dot che dot wisc dot edu Date: Fri, 12 Mar 2004 08:59:04 +0100 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