Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq

  • Thread starter alexyan
  • Start date
  • #1
alexyan
16
0
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!
 

Answers and Replies

  • #2
PerennialII
Science Advisor
Gold Member
900
1
Last edited by a moderator:
  • #3
alexyan
16
0
could you recommand the method without using Derivatives? thank you!!
 
  • #4
PerennialII
Science Advisor
Gold Member
900
1
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 [Broken]
 
Last edited by a moderator:
  • #5
chingkui
193
2
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
 
  • #6
alexyan
16
0
thank you!
 
  • #7
alexyan
16
0
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?
 

Suggested for: Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq

Replies
2
Views
2K
Replies
1
Views
2K
Replies
14
Views
8K
Replies
1
Views
5K
Replies
3
Views
2K
Replies
3
Views
2K
Replies
3
Views
3K
Replies
3
Views
1K
  • Last Post
Replies
6
Views
2K
Top