Topographical global initialization for finding all solutions of nonlinear systems with constraints

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• 作者：Né ; lio Henderson^a ; ^b ; ^{nelio@iprj.uerj.br} ; Marroni de Sá ; Rê ; go^a ; ^b ; Janaí ; na Imbiriba^a ; ^b
• 关键词：Topographical global initialization ; Nonlinear systems ; Global optimization ; Interior-point method ; Multiple roots ; Inequality constraints
• 刊名：Applied Numerical Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：112
• 期：Complete
• 页码：155-166
• 全文大小：335 K
• 卷排序：112

文摘

We apply the topographical global initialization to solve nonlinear systems. The nonlinear systems are subject to inequality constraints. The technique used is an ingenious approach based on concepts of graph theory. Solutions of global optimization problems are roots of the nonlinear systems.