{"title":"m -矩阵的最小特征值的上界","authors":"Qin Zhong, Chunyan Zhao, Ling Li","doi":"10.1117/12.2671094","DOIUrl":null,"url":null,"abstract":"According to the related M-matrix property, new upper bounds for the minimum eigenvalue of the irreducible M-matrix are provided. It is demonstrated that the new upper bound is sharper than the classical upper bound when the M-matrix is symmetric. Numerical examples further verify the validity of the results.","PeriodicalId":227528,"journal":{"name":"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Upper bounds for the minimal eigenvalue of M-matrices\",\"authors\":\"Qin Zhong, Chunyan Zhao, Ling Li\",\"doi\":\"10.1117/12.2671094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"According to the related M-matrix property, new upper bounds for the minimum eigenvalue of the irreducible M-matrix are provided. It is demonstrated that the new upper bound is sharper than the classical upper bound when the M-matrix is symmetric. Numerical examples further verify the validity of the results.\",\"PeriodicalId\":227528,\"journal\":{\"name\":\"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2671094\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2671094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Upper bounds for the minimal eigenvalue of M-matrices
According to the related M-matrix property, new upper bounds for the minimum eigenvalue of the irreducible M-matrix are provided. It is demonstrated that the new upper bound is sharper than the classical upper bound when the M-matrix is symmetric. Numerical examples further verify the validity of the results.