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Re: Call for help to those who are good at symbolic math and/or algorith


From: David Kastrup
Subject: Re: Call for help to those who are good at symbolic math and/or algorithm construction (especially those who work w/ filters)
Date: Sun, 13 Jun 2010 23:48:40 +0200
User-agent: Gnus/5.13 (Gnus v5.13) Emacs/24.0.50 (gnu/linux)

Mike Solomon <address@hidden> writes:

> Hey lilypond developers,
>     I have an algorithm I'm working on for my waveform patch and I am not
> good (or patient) enough at symbolic math to make any headway w/ it.  In the
> attached python file (which needs numpy to run), line 106 uses linalg.solve
> to solve a system of equations with fairly regular properties (all of which
> are commented in the code).  I have a hunch that there is a way to describe
> the results of this algorithm (discounting the first len(B) values, which
> are lagrangian multipliers) as a sequence (in open or closed form) using
> array A & B 's constituent members as well as their lengths (which are the
> same, meaning that len(A) = len(B)).  Knowing this would save the pain of
> using traditional linear algebra solvers, which for a 23x23 matrix is ok,
> but for a 100000x100000 matrix gets cumbersome.
>
> Thank you in advance to any takers who want to help me with this!!!

You don't happen to have the relevant parts of the arrays/algorithm as a
LaTeX file or so?

I am not good at reading Python.

-- 
David Kastrup




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