Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
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| Creator |
Bultheel, A.
Cruz-Barroso, R. Lasarow, A. |
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| Description |
Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the relation between these ORF when the poles are all outside or all inside the unit disk, or when they can be anywhere in the extended complex plane outside the unit circle. Some properties of matrices that are the product of elementary unitary transformations will be proved and some connections with related algorithms for direct and inverse eigenvalue problems will be explained.
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| Date |
2019-02-19T19:12:39Z
2019-02-19T19:12:39Z 2017 |
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| Type |
Article
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| Identifier |
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle / A. Bultheel, R. Cruz-Barroso, A. Lasarow // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 47 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 30D15; 30E05; 42C05; 44A60 DOI:10.3842/SIGMA.2017.090 http://dspace.nbuv.gov.ua/handle/123456789/149239 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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