Generalized Chebyshev Acceleration
| dc.contributor.author | Gokgoz, Nurgul | |
| dc.date.accessioned | 2025-10-06T17:37:43Z | |
| dc.date.available | 2025-10-06T17:37:43Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We use generalized Chebyshev polynomials, associated with the root system \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_2$$\end{document}, to provide a new semi-iterative method for accelerating simple iterative methods for solving linear systems. We apply this semi-iterative method to the Jacobi method, and give an example. We also analyze the efficiency of our method with sparse matrices of large dimension. There are certain restrictions but the resulting acceleration is rather high. | |
| dc.identifier.doi | 10.1007/s11075-025-02213-7 | |
| dc.identifier.issn | 1017-1398 | |
| dc.identifier.issn | 1572-9265 | |
| dc.identifier.scopus | 2-s2.0-105015511165 | |
| dc.identifier.uri | https://doi.org/10.1007/s11075-025-02213-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15666 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Numerical Algorithms | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Semi-Iterative Method | |
| dc.subject | Generalized Chebyshev Polynomials | |
| dc.subject | Julia Set | |
| dc.subject | Sparse Matrix | |
| dc.subject | Normal Matrix | |
| dc.title | Generalized Chebyshev Acceleration | |
| dc.type | Article | |
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| gdc.author.institutional | Gokgoz, Nurgul | |
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| gdc.description.department | Çankaya University | |
| gdc.description.departmenttemp | [Gokgoz, Nurgul] Cankaya Univ, Math Dept, TR-06815 Ankara, Turkiye | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
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| gdc.oaire.keywords | Mathematics - Numerical Analysis | |
| gdc.oaire.keywords | Numerical Analysis (math.NA) | |
| gdc.oaire.keywords | Dynamical Systems (math.DS) | |
| gdc.oaire.keywords | Mathematics - Dynamical Systems | |
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