{"title":"A new approach to the numerical solution of non-linear equations","authors":"N.S. Vasil'yev","doi":"10.1016/0041-5553(90)90105-2","DOIUrl":null,"url":null,"abstract":"<div><p>The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 26-32"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90105-2","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0041555390901052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.
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