{"title":"一类特殊矩阵的特征值反问题","authors":"Zhibing Liu, Chengfeng Xu, Kanmin Wang","doi":"10.1109/ICIC.2011.38","DOIUrl":null,"url":null,"abstract":"In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacobi backward, from the station, . We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.","PeriodicalId":210815,"journal":{"name":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"The Inverse Eigenvalue Problem for a Special Kind of Matrices\",\"authors\":\"Zhibing Liu, Chengfeng Xu, Kanmin Wang\",\"doi\":\"10.1109/ICIC.2011.38\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacobi backward, from the station, . We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.\",\"PeriodicalId\":210815,\"journal\":{\"name\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2011.38\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.38","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Inverse Eigenvalue Problem for a Special Kind of Matrices
In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacobi backward, from the station, . We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
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