Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq

  1. Aug 25, 2005 #1
    Could somebody who knows well the method of numerical solutions of system of nonlinear algebraic equations nonlinear algebraic equations recommand a global convergence methods? thank you very much!
     
  2. jcsd
  3. Aug 25, 2005 #2

    PerennialII

    User Avatar
    Science Advisor
    Gold Member

  4. Aug 25, 2005 #3
    could you recommand the method without using Derivatives? thank you!!
     
  5. Aug 25, 2005 #4

    PerennialII

    User Avatar
    Science Advisor
    Gold Member

    Without derivatives the methods are typically less effective (can be 'inefficient' real quick, if it's possible to apply in your case methods utilizing gradients they are typically far more usable & efficient), but ones like the simplex method and conjugate direction methods are zeroth order methods and as such don't use gradients. The simplex method is pretty used for example in unconstrained nonlinear optimization.

    http://www-fp.mcs.anl.gov/otc/Guide/OptWeb/continuous/unconstrained/nonlinsimplex.html
     
  6. Aug 25, 2005 #5
    For a system of nonlinear algebraic equations, if you want to find all the solutions, you can also consider the continuation method (some people call it homotopy continuation method).
    Here is one link:
    http://www.math.uic.edu/~jan/PHCpack/phcpack.html
     
  7. Aug 29, 2005 #6
    thank you!
     
  8. Aug 29, 2005 #7
    Chingkui, my equations is not the polynomial. it contains the hyperbolic functions and is diffificult to simpilify to hyperbolic functions. how can I do with homotopy continuation method?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq
Loading...