矩阵指数的显式公式

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-29 DOI:10.5269/bspm.63692

M. Mouçouf, S. Zriaa

{"title":"矩阵指数的显式公式","authors":"M. Mouçouf, S. Zriaa","doi":"10.5269/bspm.63692","DOIUrl":null,"url":null,"abstract":"In this work, new closed-form formulas for the matrix exponential are provided using certain polynomials which areconstructed with the help of a generalization of Hermite's interpolation formula. Our method is direct and elementary, it gives tractable and manageable formulas not current inthe extensive literature on this essential subject. Moreover, others are recuperated and generalized. Several particular cases and examples are formulated to illustrate the method presented in this paper.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Explicit formulas for the matrix exponential\",\"authors\":\"M. Mouçouf, S. Zriaa\",\"doi\":\"10.5269/bspm.63692\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, new closed-form formulas for the matrix exponential are provided using certain polynomials which areconstructed with the help of a generalization of Hermite's interpolation formula. Our method is direct and elementary, it gives tractable and manageable formulas not current inthe extensive literature on this essential subject. Moreover, others are recuperated and generalized. Several particular cases and examples are formulated to illustrate the method presented in this paper.\",\"PeriodicalId\":44941,\"journal\":{\"name\":\"Boletim Sociedade Paranaense de Matematica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Boletim Sociedade Paranaense de Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5269/bspm.63692\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.63692","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文借助于Hermite插值公式的推广，利用某些多项式构造了矩阵指数的新的闭合形式公式。我们的方法是直接和基本的，它给出了在关于这个重要主题的大量文献中没有的易于处理和管理的公式。此外，其他人正在康复和推广。文中列举了几个具体的例子来说明本文提出的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Explicit formulas for the matrix exponential

In this work, new closed-form formulas for the matrix exponential are provided using certain polynomials which areconstructed with the help of a generalization of Hermite's interpolation formula. Our method is direct and elementary, it gives tractable and manageable formulas not current inthe extensive literature on this essential subject. Moreover, others are recuperated and generalized. Several particular cases and examples are formulated to illustrate the method presented in this paper.

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

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks