{"title":"对一些特殊矩阵的指数的一个有趣的方法","authors":"J. Chen, Hongfen Zou","doi":"10.1080/21642583.2013.863168","DOIUrl":null,"url":null,"abstract":"The matrix exponential eA t plays a central role in linear system and control theory. This paper develops a method to compute the accurate solution for the matrix exponential eA t with the assumption that the matrix A has an eigenvalue s1=0. The examples show the effectiveness of the proposed method.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An interesting method for the exponentials for some special matrices\",\"authors\":\"J. Chen, Hongfen Zou\",\"doi\":\"10.1080/21642583.2013.863168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The matrix exponential eA t plays a central role in linear system and control theory. This paper develops a method to compute the accurate solution for the matrix exponential eA t with the assumption that the matrix A has an eigenvalue s1=0. The examples show the effectiveness of the proposed method.\",\"PeriodicalId\":22127,\"journal\":{\"name\":\"Systems Science & Control Engineering: An Open Access Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems Science & Control Engineering: An Open Access Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/21642583.2013.863168\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems Science & Control Engineering: An Open Access Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/21642583.2013.863168","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An interesting method for the exponentials for some special matrices
The matrix exponential eA t plays a central role in linear system and control theory. This paper develops a method to compute the accurate solution for the matrix exponential eA t with the assumption that the matrix A has an eigenvalue s1=0. The examples show the effectiveness of the proposed method.
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