{"title":"Tridiagonal Interval Matrix: Exploring New Perspectives and Application","authors":"Sivakumar Thirupathi, Nirmala Thamaraiselvan","doi":"10.26554/sti.2024.9.1.77-85","DOIUrl":null,"url":null,"abstract":"Tridiagonal interval matrices are relevant in diverse applications, especially in dealing with parameter estimation, optimization and circuit analysis uncertainties. This research paper aims to improve the computational efficiency of obtaining the inverse of a general tridiagonal interval matrix. This matrix is pivotal in electric circuit analysis. We achieve this by employing interval arithmetic operations in the LU decomposition process, enabling effective handling of circuit parameter uncertainties. This approach generates an inverse interval matrix that addresses uncertainties in circuit analyses.","PeriodicalId":21644,"journal":{"name":"Science and Technology Indonesia","volume":"9 8","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science and Technology Indonesia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26554/sti.2024.9.1.77-85","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Pharmacology, Toxicology and Pharmaceutics","Score":null,"Total":0}
引用次数: 0
Abstract
Tridiagonal interval matrices are relevant in diverse applications, especially in dealing with parameter estimation, optimization and circuit analysis uncertainties. This research paper aims to improve the computational efficiency of obtaining the inverse of a general tridiagonal interval matrix. This matrix is pivotal in electric circuit analysis. We achieve this by employing interval arithmetic operations in the LU decomposition process, enabling effective handling of circuit parameter uncertainties. This approach generates an inverse interval matrix that addresses uncertainties in circuit analyses.
三对角区间矩阵的应用多种多样，特别是在处理参数估计、优化和电路分析不确定性方面。本研究论文旨在提高一般三对角区间矩阵求逆的计算效率。该矩阵在电路分析中至关重要。为此，我们在 LU 分解过程中采用了区间算术运算，从而有效地处理了电路参数的不确定性。这种方法生成的逆区间矩阵可解决电路分析中的不确定性问题。
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