An Inexact Modified Newton Method for Viscc and Application in Grasping Force
| Autor: | Jin-he Wang, Li-Ping Pang, Shuang Chen, Dan Li |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
021103 operations research Applied Mathematics Computation MathematicsofComputing_NUMERICALANALYSIS 0211 other engineering and technologies 02 engineering and technology Stationary point symbols.namesake Nonlinear system 020901 industrial engineering & automation Cone (topology) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Variational inequality symbols Symmetric cone Applied mathematics Minification Newton's method Mathematics |
| Zdroj: | Acta Mathematicae Applicatae Sinica, English Series. 35:591-606 |
| ISSN: | 1618-3932 0168-9673 |
| DOI: | 10.1007/s10255-019-0834-6 |
| Popis: | For the variational inequality with symmetric cone constraints problem, we consider using the inexact modified Newton method to efficiently solve it. It provides a unified framework for dealing with the variational inequality with nonlinear constraints, variational inequality with the second-order cone constraints, and the variational inequality with semi-definite cone constraints. We show that each stationary point of the unconstrained minimization reformulation based on the Fischer-Burmeister merit function is a solution to the problem. It is proved that the proposed algorithm is globally convergent under suitable conditions. The computation results show that the feasibility and efficiency of our algorithm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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