{"title":"用c++求解非线性代数方程的一般算法","authors":"J. Lieh","doi":"10.1145/3581807.3581886","DOIUrl":null,"url":null,"abstract":"This paper adopts C++ as a programming tool to develop general algorithms to solve nonlinear algebraic equations. For comparison purpose, five numerical approaches are used. Instead of finding only one root at the neighborhood of a given initial guess, programs are developed in such a way that they can search multiple roots in a specified interval. Several examples are selected to verify the algorithms and their convergence speeds are compared.","PeriodicalId":292813,"journal":{"name":"Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General Algorithms to Solve Nonlinear Algebraic Equations with C++\",\"authors\":\"J. Lieh\",\"doi\":\"10.1145/3581807.3581886\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper adopts C++ as a programming tool to develop general algorithms to solve nonlinear algebraic equations. For comparison purpose, five numerical approaches are used. Instead of finding only one root at the neighborhood of a given initial guess, programs are developed in such a way that they can search multiple roots in a specified interval. Several examples are selected to verify the algorithms and their convergence speeds are compared.\",\"PeriodicalId\":292813,\"journal\":{\"name\":\"Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3581807.3581886\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3581807.3581886","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General Algorithms to Solve Nonlinear Algebraic Equations with C++
This paper adopts C++ as a programming tool to develop general algorithms to solve nonlinear algebraic equations. For comparison purpose, five numerical approaches are used. Instead of finding only one root at the neighborhood of a given initial guess, programs are developed in such a way that they can search multiple roots in a specified interval. Several examples are selected to verify the algorithms and their convergence speeds are compared.
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