1. Filled function method for nonlinear equations
- Author
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Lin, Youjiang and Yang, Yongjian
- Subjects
- *
NUMERICAL solutions to nonlinear differential equations , *MATHEMATICAL optimization , *MATHEMATICAL functions , *GLOBAL analysis (Mathematics) , *NUMERICAL analysis , *MATHEMATICAL analysis - Abstract
Abstract: Systems of nonlinear equations are ubiquitous in engineering, physics and mechanics, and have myriad applications. Generally, they are very difficult to solve. In this paper, we will present a filled function method to solve nonlinear systems. We will first convert the nonlinear systems into equivalent global optimization problems with the property: is a global minimizer if and only if its function value is zero. A filled function method is proposed to solve the converted global optimization problem. Numerical examples are presented to illustrate our new techniques. [Copyright &y& Elsevier]
- Published
- 2010
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