Qin Zhong, Chunyan Zhao, Xin Zhou, Y. Wang, Ling Li
{"title":"Hadamard积谱半径的新估计","authors":"Qin Zhong, Chunyan Zhao, Xin Zhou, Y. Wang, Ling Li","doi":"10.1117/12.2671104","DOIUrl":null,"url":null,"abstract":"For the Hadamard product of the matrices with non-negative entries, we study the new upper bound for the spectral radius by applying the characteristic value containing the domain theorem. This estimating formula only involves the entries of two non-negative matrices. Hence, the upper bound is easy to calculate in practical examples. An example is considered to illustrate our results.","PeriodicalId":227528,"journal":{"name":"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New estimation for spectral radius of Hadamard product\",\"authors\":\"Qin Zhong, Chunyan Zhao, Xin Zhou, Y. Wang, Ling Li\",\"doi\":\"10.1117/12.2671104\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For the Hadamard product of the matrices with non-negative entries, we study the new upper bound for the spectral radius by applying the characteristic value containing the domain theorem. This estimating formula only involves the entries of two non-negative matrices. Hence, the upper bound is easy to calculate in practical examples. An example is considered to illustrate our results.\",\"PeriodicalId\":227528,\"journal\":{\"name\":\"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2671104\",\"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/10.1117/12.2671104","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New estimation for spectral radius of Hadamard product
For the Hadamard product of the matrices with non-negative entries, we study the new upper bound for the spectral radius by applying the characteristic value containing the domain theorem. This estimating formula only involves the entries of two non-negative matrices. Hence, the upper bound is easy to calculate in practical examples. An example is considered to illustrate our results.