{"title":"估计区间矩阵最小奇异值外壳的下限","authors":"Sarishti Singh, Geetanjali Panda","doi":"10.1007/s12190-024-02180-7","DOIUrl":null,"url":null,"abstract":"<p>This paper estimates the lower bound for the enclosure of the smallest singular value of interval matrices. Different lower bounds are derived using specific inequalities and interval matrix norms. Relation between some of these lower bounds is studied. The theoretical results are verified through a numerical example.</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimation of lower bound for the smallest singular value enclosure of interval matrices\",\"authors\":\"Sarishti Singh, Geetanjali Panda\",\"doi\":\"10.1007/s12190-024-02180-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper estimates the lower bound for the enclosure of the smallest singular value of interval matrices. Different lower bounds are derived using specific inequalities and interval matrix norms. Relation between some of these lower bounds is studied. The theoretical results are verified through a numerical example.</p>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12190-024-02180-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02180-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Estimation of lower bound for the smallest singular value enclosure of interval matrices
This paper estimates the lower bound for the enclosure of the smallest singular value of interval matrices. Different lower bounds are derived using specific inequalities and interval matrix norms. Relation between some of these lower bounds is studied. The theoretical results are verified through a numerical example.
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