Inverses of rational functions
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 p...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2023
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| Sorozat: | Acta cybernetica
26 No. 1 |
| Kulcsszavak: | Racionális függvények, Blaschke-szorzatok, Numerikus analízis |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.294975 |
| Online Access: | http://acta.bibl.u-szeged.hu/86965 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 53-69 |
| ISSN: | 2676-993X |