通过代数变换求解矩阵方程

P. Szczepaniak
{"title":"通过代数变换求解矩阵方程","authors":"P. Szczepaniak","doi":"10.1109/CMPEUR.1992.218411","DOIUrl":null,"url":null,"abstract":"An algebraic result useful in the computational solution of sets of algebraic matrix equations is derived. An important advantage of the method is that the solution of only one equation is sufficient to determine the solutions of all matrix equations of the class considered without these equations having to be solved directly. An application example from the area of system theory is presented.<<ETX>>","PeriodicalId":390273,"journal":{"name":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of matrix equations via algebraic transformations\",\"authors\":\"P. Szczepaniak\",\"doi\":\"10.1109/CMPEUR.1992.218411\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algebraic result useful in the computational solution of sets of algebraic matrix equations is derived. An important advantage of the method is that the solution of only one equation is sufficient to determine the solutions of all matrix equations of the class considered without these equations having to be solved directly. An application example from the area of system theory is presented.<<ETX>>\",\"PeriodicalId\":390273,\"journal\":{\"name\":\"CompEuro 1992 Proceedings Computer Systems and Software Engineering\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CompEuro 1992 Proceedings Computer Systems and Software Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CMPEUR.1992.218411\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CMPEUR.1992.218411","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

导出了一个用于求解代数矩阵方程组的代数结果。该方法的一个重要优点是,只需一个方程的解就足以确定所考虑的所有矩阵方程的解,而不必直接求解这些方程。给出了系统理论领域的一个应用实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Solution of matrix equations via algebraic transformations
An algebraic result useful in the computational solution of sets of algebraic matrix equations is derived. An important advantage of the method is that the solution of only one equation is sufficient to determine the solutions of all matrix equations of the class considered without these equations having to be solved directly. An application example from the area of system theory is presented.<>
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Neural clustering algorithms for classification and pre-placement of VLSI cells General-to-specific learning of Horn clauses from positive examples Minimization of NAND circuits by rewriting-rules heuristic A generalized stochastic Petri net model of Multibus II Activation of connections to accelerate the learning in recurrent back-propagation
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1