Unified smoothing functions for absolute value equation associated with second-order cone
| Autor: | Yu Lin Chang, B. Saheya, Jein Shan Chen, Chieu Thanh Nguyen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
Work (thermodynamics) Applied Mathematics 010103 numerical & computational mathematics Function (mathematics) 01 natural sciences 010101 applied mathematics Computational Mathematics Cone (topology) Absolute value equation Applied mathematics Order (group theory) 0101 mathematics Smoothing Mathematics |
| Zdroj: | Applied Numerical Mathematics. 135:206-227 |
| ISSN: | 0168-9274 |
| DOI: | 10.1016/j.apnum.2018.08.019 |
| Popis: | In this paper, we explore a unified way to construct smoothing functions for solving the absolute value equation associated with second-order cone (SOCAVE). Numerical comparisons are presented, which illustrate what kinds of smoothing functions work well along with the smoothing Newton algorithm. In particular, the numerical experiments show that the well known loss function widely used in engineering community is the worst one among the constructed smoothing functions, which indicates that the other proposed smoothing functions can be employed for solving engineering problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect