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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

800.0. "need differential equation package" by CSSE::CLARK (dodging lions and wasting time) Thu Dec 10 1987 17:27

    Any optimization gurus out there? I have been working on a
    'real-life' problem which involves getting maximum likelihood
    estimates for an n-paramater model. At present, I am working
    with n on the order of 3 to 5. I have been going off on a
    tangent and have developed what I hope is a new and better
    algorithm for getting to the top of complex likelihood
    functions, independent of starting point. In order to complete
    the algorithm, I need to find a way to solve a system of
    n first order differential equations. Does anybody know of
    any packages available for solving diffrential equations?
    
    thanks in advance - Dave Clark
    
    p.s. if you want to discuss this (very interesting) problem
    with me, send me mail or call me at 276-9164.
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800.1MATRIX::ROTHMay you live in interesting timesThu Dec 10 1987 18:5914
    Are you trying to use some sort of homotopy continuation technique?
    Or steepest descent of some kind?

    There is a large literature on optimization methods for nonlinear
    problems, with and without constraints.  I've used some of them for
    circuit optimization, and could see them being applicable to your type
    of problem too.

    If your equations are not 'stiff' just about anything would work well
    for starters; I'd think most of the work is setting up the function
    calls.  A simple RK4(5) Runge Kutta variable step size method would
    be easy and fast enough to experiment with.

    - Jim