Solving systems of nonlinear equations with continuous GRASP
作者： Michael J. Hirsch , Panos M. Pardalos , Mauricio G.C. Resende
DOI: 10.1016/J.NONRWA.2008.03.006
关键词: Global optimization problem 、 Nonlinear system 、 Global optimization 、 GRASP 、 Mathematical optimization 、 Mathematics 、 Nonlinear programming 、 Continuous optimization 、 Derivative 、 Heuristic (computer science) 、 General Engineering 、 General Economics, Econometrics and Finance 、 Applied mathematics 、 Analysis 、 Computational mathematics 、 General Medicine
摘要: Abstract A method for finding all roots of a system nonlinear equations is described. Our makes use C-GRASP, recently proposed continuous global optimization heuristic. Given system, we solve corresponding adaptively modified problem multiple times, each time using with areas repulsion around that have already been found. The heuristic no derivative information. We illustrate the approach systems found in literature.
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