A modified multivariate spectral gradient projection method for nonlinear complementarity problems
We present a sufficient condition for monotonicity of the nonlinear nonsmooth system generated by Fischer–Burmeister function associated with nonlinear complementarity problem. Based on the presented condition, the nonlinear complementarity problem considered in this paper is equivalently formulated...
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| Veröffentlicht in: | Computational & applied mathematics 2023-12, Vol.42 (8), Article 323 |
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| creator | Peng, Zheng Zhang, Xu Yao, Zhiqiang |
| description | We present a sufficient condition for monotonicity of the nonlinear nonsmooth system generated by Fischer–Burmeister function associated with nonlinear complementarity problem. Based on the presented condition, the nonlinear complementarity problem considered in this paper is equivalently formulated to a nonsmooth monotone system. We then propose a modified multivariate spectral gradient projection method for the resulting system, and establish the global convergence without smoothness and Lipschitz condition. Preliminary numerical experiments show that, compared to some existing methods, the proposed method is effective. |
| doi_str_mv | 10.1007/s40314-023-02465-w |
| format | Article |
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Based on the presented condition, the nonlinear complementarity problem considered in this paper is equivalently formulated to a nonsmooth monotone system. We then propose a modified multivariate spectral gradient projection method for the resulting system, and establish the global convergence without smoothness and Lipschitz condition. Preliminary numerical experiments show that, compared to some existing methods, the proposed method is effective.</description><identifier>ISSN: 2238-3603</identifier><identifier>EISSN: 1807-0302</identifier><identifier>DOI: 10.1007/s40314-023-02465-w</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Applications of Mathematics ; Applied physics ; Computational mathematics ; Computational Mathematics and Numerical Analysis ; Lipschitz condition ; Mathematical Applications in Computer Science ; Mathematical Applications in the Physical Sciences ; Mathematics ; Mathematics and Statistics ; Multivariate analysis ; Smoothness</subject><ispartof>Computational & applied mathematics, 2023-12, Vol.42 (8), Article 323</ispartof><rights>The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2023. 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Preliminary numerical experiments show that, compared to some existing methods, the proposed method is effective.</description><subject>Applications of Mathematics</subject><subject>Applied physics</subject><subject>Computational mathematics</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Lipschitz condition</subject><subject>Mathematical Applications in Computer Science</subject><subject>Mathematical Applications in the Physical Sciences</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Multivariate analysis</subject><subject>Smoothness</subject><issn>2238-3603</issn><issn>1807-0302</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLxDAUhYMoOI7-AVcB19WbV9Muh8EXDLjRdWibZMzQNjXJOMy_N1rBnYvL5V6-cw4chK4J3BIAeRc5MMILoCwPL0VxOEELUoEsgAE9RQtKWVWwEtg5uohxB8Ak4XyB2hUevHbWGY2HfZ_cZxNckwyOk-lSaHq8DY12Zkx4Cn6Xf86PeDDp3WtsfcCjH3s3mibgzg9Tb4aMZot0_ObbfMdLdGabPpqr371Ebw_3r-unYvPy-LxebYqOSkgFNx0XXJAaNCurmreMCiMqoStbakq70lhutRCaGOiA10Bly6QubVvL1lrOluhm9s3BH3sTk9r5fRhzpKKVpDUhtZSZojPVBR9jMFZNwQ1NOCoC6rtLNXepcpfqp0t1yCI2i2KGx60Jf9b_qL4AlAV5pQ</recordid><startdate>20231201</startdate><enddate>20231201</enddate><creator>Peng, Zheng</creator><creator>Zhang, Xu</creator><creator>Yao, Zhiqiang</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-2932-4765</orcidid></search><sort><creationdate>20231201</creationdate><title>A modified multivariate spectral gradient projection method for nonlinear complementarity problems</title><author>Peng, Zheng ; Zhang, Xu ; Yao, Zhiqiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-4ec4545190d36894b325e585d8f6d22c6ef4fd55d1e0c049027b37d6fb97bff43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Applications of Mathematics</topic><topic>Applied physics</topic><topic>Computational mathematics</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Lipschitz condition</topic><topic>Mathematical Applications in Computer Science</topic><topic>Mathematical Applications in the Physical Sciences</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Multivariate analysis</topic><topic>Smoothness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Peng, Zheng</creatorcontrib><creatorcontrib>Zhang, Xu</creatorcontrib><creatorcontrib>Yao, Zhiqiang</creatorcontrib><collection>CrossRef</collection><jtitle>Computational & applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Peng, Zheng</au><au>Zhang, Xu</au><au>Yao, Zhiqiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A modified multivariate spectral gradient projection method for nonlinear complementarity problems</atitle><jtitle>Computational & applied mathematics</jtitle><stitle>Comp. 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| subjects | Applications of Mathematics Applied physics Computational mathematics Computational Mathematics and Numerical Analysis Lipschitz condition Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Multivariate analysis Smoothness |
| title | A modified multivariate spectral gradient projection method for nonlinear complementarity problems |
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