A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
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摘要
A derivative-free iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a quasi-Newton method that uses the Broyden update formula and a globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results are proved and numerical experiments are presented.
论文关键词:Underdetermined nonlinear systems,Bound constraints,Quasi-Newton method,Derivative-free line search,Global convergence
论文评审过程:Available online 22 October 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2012.09.056