Inverses of Rational Functions
Dózsa, Tamás (2023) Inverses of Rational Functions. ACTA CYBERNETICA, 26 (1). pp. 53-69. ISSN 0324-721X 10.14232/actacyb.294975
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Abstract
We consider the numerical construction of inverses for a class of rational functions. We propose two inverse algorithms, which can be used to simultaneously identify every zero of a rational function or polynomial. In the first case, we propose a generalization of an inverse algorithm based on our previous work and specify a class of rational functions, for which this generalized algorithm is applicable. In the second case, we provide a method to construct Blaschke-products, whose roots match the roots of a polynomial or a rational function. We also consider different iterative methods to numerically calculate the inverse points and discuss their properties.
| Item Type: | Article |
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| Subjects: | Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| Divisions: | Systems and Control Lab |
| SWORD Depositor: | MTMT Injector |
| Depositing User: | MTMT Injector |
| Date Deposited: | 12 Sep 2023 06:30 |
| Last Modified: | 12 Sep 2023 06:30 |
| URI: | https://eprints.sztaki.hu/id/eprint/10571 |
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