{"title":"非光滑函数的连续最小化方法","authors":"L. Polyakova, V. Karelin","doi":"10.1109/SCP.2015.7342133","DOIUrl":null,"url":null,"abstract":"A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On a continuous method for minimizing of nonsmooth functions\",\"authors\":\"L. Polyakova, V. Karelin\",\"doi\":\"10.1109/SCP.2015.7342133\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342133\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342133","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On a continuous method for minimizing of nonsmooth functions
A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.
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