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Re: Understanding how octave works...


From: Paul Kienzle
Subject: Re: Understanding how octave works...
Date: Mon, 26 Jan 2004 09:43:06 -0500

I've found QR decomposition to be successful as well.  I haven't
compared it to the results of SVD.

  ## system solution
  [Q,R,P] = qr(X,0);
  p = R\(Q'*b);
  p(P) = p;

See wpolyfit.m in octave-forge.  The function test_wpolyfit has a
number of difficult systems to solve.

Paul Kienzle
address@hidden

On Jan 26, 2004, at 9:27 AM, David Bateman wrote:
If the matrix is square we call the "solve" routine based on an LU
decomposition of the matrix (dgetrf and dgetrs). If LAPACK flags the
result as being doubtful with the info flag then we fall back on
"lssolve" that uses an SVD (dgelss).

According to Joerg Frochte <address@hidden> (on 01/26/04):

The result in octave is quite OK, but the result my own program computes
is very unpleasing.

ans = [ -7.12e+11-3.70e-05-6.03e+13 1.82e-03 1.74e+00-1.70e+15 1.48e-01
2.79e+00 6.10e-02 ]

This has something to do with the fact that A is very close to be singular.

octave:21> cond(A)
ans =  2.9251e+18

Nevertheless, the result of octave is more pleasing.
How does octave deal with such a situation?
I have the source-code but I am unable to find a point to start my analysis,
because I do not know how octave is designed.

Could you tell me how octave works in this situation or give me a file and
line where to start in the octave code?

Thanks very much,

Joerg Frochte




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David Bateman                                address@hidden
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-------------------------------------------------------------
Octave is freely available under the terms of the GNU GPL.

Octave's home on the web:  http://www.octave.org
How to fund new projects:  http://www.octave.org/funding.html
Subscription information:  http://www.octave.org/archive.html
-------------------------------------------------------------




-------------------------------------------------------------
Octave is freely available under the terms of the GNU GPL.

Octave's home on the web:  http://www.octave.org
How to fund new projects:  http://www.octave.org/funding.html
Subscription information:  http://www.octave.org/archive.html
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