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## Main Question or Discussion Point

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!

- Thread starter alexyan
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- #1

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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

PerennialII

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How about using the classic, the Newton-Raphson :

http://www.library.cornell.edu/nr/bookcpdf/c9-6.pdf [Broken]

http://en.wikipedia.org/wiki/Newton-Raphson_method

http://rkb.home.cern.ch/rkb/AN16pp/node183.html [Broken]

http://www.library.cornell.edu/nr/bookcpdf/c9-6.pdf [Broken]

http://en.wikipedia.org/wiki/Newton-Raphson_method

http://rkb.home.cern.ch/rkb/AN16pp/node183.html [Broken]

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could you recommand the method without using Derivatives? thank you!!

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PerennialII

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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]

http://www-fp.mcs.anl.gov/otc/Guide/OptWeb/continuous/unconstrained/nonlinsimplex.html [Broken]

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Here is one link:

http://www.math.uic.edu/~jan/PHCpack/phcpack.html

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thank you!

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