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Homotopy Continuation Method to Solve a System of Nonlinear Algebraic Equations

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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FindRoot fails to give a correct solution to a system of nonlinear algebraic equations unless a good initial guess is chosen. Difficulty in finding a suitable initial guess is avoided by using homotopy continuation methods such as the fixed point and the Newton homotopy methods.

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Chemistry

Newton homotopy method, fixed point homotopy method, homotopy continuation method, system of nonlinear algebraic equations
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Homotopy.nb (53.5 KB) - Mathematica Notebook [for Mathematica 5.2]

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