求四次收敛非奇异矩阵符号的加速迭代法

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2023-08-09 DOI:10.1007/s40995-023-01506-7

Yan Feng, Ahmed Zaka Othman

{"title":"求四次收敛非奇异矩阵符号的加速迭代法","authors":"Yan Feng, Ahmed Zaka Othman","doi":"10.1007/s40995-023-01506-7","DOIUrl":null,"url":null,"abstract":"<div><p>The function of matrix sign is one of the most significant functions of matrices with several applications. The target of this work is to propose a novel numerical scheme in the form of an iteration scheme for finding the sign of a nonsingular matrix with quartical convergence. The convergence is global and the coefficients of the method have been proposed so as to enlarge the associated basins of attraction when compared to the similar methods of the same order of convergence from literature. Ultimately, numerical results are furnished to support the analytical discussion.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"47 4","pages":"1359 - 1366"},"PeriodicalIF":1.4000,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40995-023-01506-7.pdf","citationCount":"0","resultStr":"{\"title\":\"An Accelerated Iterative Method to Find the Sign of a Nonsingular Matrix with Quartical Convergence\",\"authors\":\"Yan Feng, Ahmed Zaka Othman\",\"doi\":\"10.1007/s40995-023-01506-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The function of matrix sign is one of the most significant functions of matrices with several applications. The target of this work is to propose a novel numerical scheme in the form of an iteration scheme for finding the sign of a nonsingular matrix with quartical convergence. The convergence is global and the coefficients of the method have been proposed so as to enlarge the associated basins of attraction when compared to the similar methods of the same order of convergence from literature. Ultimately, numerical results are furnished to support the analytical discussion.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"47 4\",\"pages\":\"1359 - 1366\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40995-023-01506-7.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-023-01506-7\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-023-01506-7","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

矩阵符号函数是矩阵中最重要的函数之一，具有多种用途。本工作的目的是提出一种新的迭代格式，用于寻找具有四次收敛的非奇异矩阵的符号。该方法具有全局收敛性，并提出了该方法的系数，以便与文献中相同收敛阶的类似方法相比，扩大相关的吸引盆地。最后，给出了数值结果来支持分析讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

An Accelerated Iterative Method to Find the Sign of a Nonsingular Matrix with Quartical Convergence

查看原文本刊更多论文

An Accelerated Iterative Method to Find the Sign of a Nonsingular Matrix with Quartical Convergence

The function of matrix sign is one of the most significant functions of matrices with several applications. The target of this work is to propose a novel numerical scheme in the form of an iteration scheme for finding the sign of a nonsingular matrix with quartical convergence. The convergence is global and the coefficients of the method have been proposed so as to enlarge the associated basins of attraction when compared to the similar methods of the same order of convergence from literature. Ultimately, numerical results are furnished to support the analytical discussion.

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences