{"title":"-HLCP的Mehrotra型预测校正内点法","authors":"N. Hazzam, Z. Kebbiche","doi":"10.1080/01630563.2022.2123818","DOIUrl":null,"url":null,"abstract":"Abstract In this article, a new variant of Mehrotra type-predictor-corrector algorithm is proposed for -horizontal linear complementarity problem. We demonstrate the theoretical efficiency of this algorithm by showing its polynomial complexity. The iteration bound is given by We test the practical efficiency and the validity of our algorithm by running some computational tests.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"43 1","pages":"1647 - 1659"},"PeriodicalIF":1.4000,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Mehrotra Type Predictor-Corrector Interior-Point Method for -HLCP\",\"authors\":\"N. Hazzam, Z. Kebbiche\",\"doi\":\"10.1080/01630563.2022.2123818\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this article, a new variant of Mehrotra type-predictor-corrector algorithm is proposed for -horizontal linear complementarity problem. We demonstrate the theoretical efficiency of this algorithm by showing its polynomial complexity. The iteration bound is given by We test the practical efficiency and the validity of our algorithm by running some computational tests.\",\"PeriodicalId\":54707,\"journal\":{\"name\":\"Numerical Functional Analysis and Optimization\",\"volume\":\"43 1\",\"pages\":\"1647 - 1659\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2022-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Numerical Functional Analysis and Optimization\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/01630563.2022.2123818\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Functional Analysis and Optimization","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/01630563.2022.2123818","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A Mehrotra Type Predictor-Corrector Interior-Point Method for -HLCP
Abstract In this article, a new variant of Mehrotra type-predictor-corrector algorithm is proposed for -horizontal linear complementarity problem. We demonstrate the theoretical efficiency of this algorithm by showing its polynomial complexity. The iteration bound is given by We test the practical efficiency and the validity of our algorithm by running some computational tests.
期刊介绍:
Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal.
Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.