Filled function method for nonlinear equations
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摘要
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: x∗ 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.
论文关键词:90C26,90C30,Filled function,Filled function method,System of nonlinear equations,Local minimizer,Global optimization
论文评审过程:Received 28 February 2009, Revised 5 January 2010, Available online 15 January 2010.
论文官网地址:https://doi.org/10.1016/j.cam.2010.01.007