{"title":"非线性方程数值解的新方法","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":"{\"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}","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}
A new approach to the numerical solution of non-linear equations
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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