Extended Newton Methods for Multiobjective Optimization: Majorizing Function Technique and Convergence Analysis
| Autor: | Xiaoqi Yang, Yaohua Hu, Chong Li, Jinhua Wang, Carisa Kwok Wai Yu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
021103 operations research MathematicsofComputing_NUMERICALANALYSIS 0211 other engineering and technologies Pareto principle 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Multi-objective optimization Theoretical Computer Science symbols.namesake Multiobjective optimization problem Rate of convergence symbols Applied mathematics Ball (mathematics) Radius of convergence 0101 mathematics Newton's method Software Mathematics |
| Zdroj: | SIAM Journal on Optimization. 29:2388-2421 |
| ISSN: | 1095-7189 1052-6234 |
| DOI: | 10.1137/18m1191737 |
| Popis: | We consider the extended Newton method for approaching a Pareto optimum of a multiobjective optimization problem, establish quadratic convergence criteria, and estimate a radius of convergence ball... |
| Databáze: | OpenAIRE |
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