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https://doi.org/10.1080/10556780600627727
Title: | A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution | Authors: | Sun, J. Huang, Z.-H. |
Keywords: | Finite termination Linear complementarity problem Maximally complementary solution Smoothing method Sufficient matrix |
Issue Date: | 2006 | Citation: | Sun, J., Huang, Z.-H. (2006). A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution. Optimization Methods and Software 21 (4) : 597-615. ScholarBank@NUS Repository. https://doi.org/10.1080/10556780600627727 | Abstract: | By using a smoothing function, the linear complementarity problem (LCP) can be reformulated as a parameterized smooth equation. A Newton method with a projection-type testing procedure is proposed to solve this equation. We show that, for the LCP with a sufficient matrix, the iteration sequence generated by the proposed algorithm is bounded as long as the LCP has a solution. This assumption is weaker than the ones used in most existing smoothing algorithms. Moreover, we show that the proposed algorithm can find a maximally complementary solution to the LCP in a finite number of iterations. | Source Title: | Optimization Methods and Software | URI: | http://scholarbank.nus.edu.sg/handle/10635/44134 | ISSN: | 10556788 | DOI: | 10.1080/10556780600627727 |
Appears in Collections: | Staff Publications |
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