{"title":"一种收敛阶至少为二次的多维分数阶拟牛顿方法的递归编程","authors":"A. Torres-Hernandez","doi":"10.5121/mathsj.2022.9103","DOIUrl":null,"url":null,"abstract":"The following paper presents a way to define and classify a family of fractional iterative methods through a group of fractional matrix operators, as well as a code written in recursive programming to implement a variant of the fractional quasi-Newton method, which through minor modifications, can be implemented in any fractional fixed-point method that allows solving nonlinear algebraic equation systems","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming\",\"authors\":\"A. Torres-Hernandez\",\"doi\":\"10.5121/mathsj.2022.9103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The following paper presents a way to define and classify a family of fractional iterative methods through a group of fractional matrix operators, as well as a code written in recursive programming to implement a variant of the fractional quasi-Newton method, which through minor modifications, can be implemented in any fractional fixed-point method that allows solving nonlinear algebraic equation systems\",\"PeriodicalId\":276601,\"journal\":{\"name\":\"Applied Mathematics and Sciences An International Journal (MathSJ)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Sciences An International Journal (MathSJ)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5121/mathsj.2022.9103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Sciences An International Journal (MathSJ)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5121/mathsj.2022.9103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming
The following paper presents a way to define and classify a family of fractional iterative methods through a group of fractional matrix operators, as well as a code written in recursive programming to implement a variant of the fractional quasi-Newton method, which through minor modifications, can be implemented in any fractional fixed-point method that allows solving nonlinear algebraic equation systems