Sam, Chiapo R. (2015) Iterative algorithms for determining multiplicative inverses in Banach algebras. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 285-295. ISSN 0866-0174
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Official URL: http://www.emis.de/journals/AMAPN/index.html
Abstract
By using Banach's fixed point theorem and properties of strong derivatives of nonlinear mappings, we prove some convergence theorems and error estimations of a family of iterative methods of arbitrary order for determining the inverse elements in a unital Bananch algebra.
| Item Type: | Article |
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| Uncontrolled Keywords: | Banach algebra, fixed point theorem, iteration, multiplicative inverse |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 11:38 |
| Last Modified: | 06 Feb 2024 11:38 |
| URI: | http://real.mtak.hu/id/eprint/187677 |
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