An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices
In this paper, inspired by the previous work in (Appl. Math. Comput., 369 (2020) 124890), we focus on the convergence condition of the modulus-based matrix splitting (MMS) iteration method for solving the horizontal linear complementarity problem (HLCP) with <inline-formula><math xmlns=&quo...
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MDPI AG
2023-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/8/1842 |
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| author | Cuixia Li Shiliang Wu |
| author_facet | Cuixia Li Shiliang Wu |
| author_sort | Cuixia Li |
| collection | DOAJ |
| description | In this paper, inspired by the previous work in (Appl. Math. Comput., 369 (2020) 124890), we focus on the convergence condition of the modulus-based matrix splitting (MMS) iteration method for solving the horizontal linear complementarity problem (HLCP) with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>+</mo></msub></semantics></math></inline-formula>-matrices. An improved convergence condition of the MMS iteration method is given to improve the range of its applications, in a way which is better than that in the above published article. |
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| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T04:47:08Z |
| publishDate | 2023-04-01 |
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| spelling | doaj.art-e3f0833a8fad40c792d03ab5221bfdf62023-11-17T20:17:20ZengMDPI AGMathematics2227-73902023-04-01118184210.3390/math11081842An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-MatricesCuixia Li0Shiliang Wu1School of Mathematics, Yunnan Normal University, Kunming 650500, ChinaSchool of Mathematics, Yunnan Normal University, Kunming 650500, ChinaIn this paper, inspired by the previous work in (Appl. Math. Comput., 369 (2020) 124890), we focus on the convergence condition of the modulus-based matrix splitting (MMS) iteration method for solving the horizontal linear complementarity problem (HLCP) with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>+</mo></msub></semantics></math></inline-formula>-matrices. An improved convergence condition of the MMS iteration method is given to improve the range of its applications, in a way which is better than that in the above published article.https://www.mdpi.com/2227-7390/11/8/1842horizontal linear complementarity problem<i>H</i><sub>+</sub>-matrixthe MMS iteration method |
| spellingShingle | Cuixia Li Shiliang Wu An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices Mathematics horizontal linear complementarity problem <i>H</i><sub>+</sub>-matrix the MMS iteration method |
| title | An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices |
| title_full | An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices |
| title_fullStr | An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices |
| title_full_unstemmed | An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices |
| title_short | An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of <i>H</i><sub>+</sub>-Matrices |
| title_sort | improved convergence condition of the mms iteration method for horizontal lcp of i h i sub sub matrices |
| topic | horizontal linear complementarity problem <i>H</i><sub>+</sub>-matrix the MMS iteration method |
| url | https://www.mdpi.com/2227-7390/11/8/1842 |
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