{"title":"CONVERGENCE OF GRADIENT-LIKE DYNAMICAL SYSTEM","authors":"A. Y. Shavlyuk, V. Semenov","doi":"10.17721/2706-9699.2022.1.09","DOIUrl":null,"url":null,"abstract":"The asymptotic behavior of the gradient system, which is a continuous analogue of the variant of the gradient method from [16] for the minimization of strongly convex functions, is studied. Using the Lyapunov analysis, estimates of the rate of convergence of the gradient system were established.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"131 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2022.1.09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
The asymptotic behavior of the gradient system, which is a continuous analogue of the variant of the gradient method from [16] for the minimization of strongly convex functions, is studied. Using the Lyapunov analysis, estimates of the rate of convergence of the gradient system were established.
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