{"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":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"99 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02180-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
