Bounds for the Range of a Complex Polynomial over a Rectangular Region
| Type of Publication: | Working Paper/Technical Report |
| Publication status: | Accepted |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-2jh12ihlpabd2 |
| Author: | Titi, Jihad; Garloff, Jürgen |
| Year of publication: | 2020 |
| Series: | Konstanzer Schriften in Mathematik ; 396 |
| Summary: |
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus over a rectangular region in the complex plane are presented. The approach relies on the expansion of the given polynomial into Bernstein polynomials. The results are extended to multivariate complex polynomials and rational functions.
|
| MSC Classification: | 65G40, 65E05 |
| Subject (DDC): | 510 Mathematics |
| Keywords: | Complex interval. complex polynomial, enclosure of the range, Bernstein polynomial, multivariate complex polynomial, multivariate rational function |
| Comment on publication: | Wird erscheinen in: Journal of Computational and Applied Mathematics ; 2021 |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
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TITI, Jihad, Jürgen GARLOFF, 2020. Bounds for the Range of a Complex Polynomial over a Rectangular Region
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