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Numerical evaluation and comparison of Kalantari's zero bounds for complex polynomials
Matthias Dehmer1, Yury Robertovich Tsoy2
1Department of Computer Science, Universität der Bundeswehr München, Neubiberg-München, Germany; UMIT - The Health & Life Sciences University, Department for Biomedical Informatics and Mechatronics, Hall in Tyrol, Austria.
Plos One
|October 29, 2014
Summary
This study examines zero bounds using special polynomials. Numerical and analytical results demonstrate the performance of these bounds in mathematical analysis.
Area of Science:
- Mathematics
- Numerical Analysis
Background:
- Zero bounds are crucial in various mathematical fields.
- Investigating their performance enhances theoretical understanding.
Purpose of the Study:
- To evaluate the performance of zero bounds proposed by Kalantari and Dehmer.
- To explore the application of special polynomial classes in this evaluation.
Main Methods:
- Utilizing specific classes of polynomials for analysis.
- Employing both numerical simulations and analytical derivations.
Main Results:
- Demonstrated performance of Kalantari and Dehmer's zero bounds.
- Validation through consistent numerical and analytical outcomes.
Conclusions:
- The study provides evidence for the effectiveness of the investigated zero bounds.
- Special polynomials offer a viable approach for analyzing zero bound performance.
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