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Mikhail Tyaglov (Shanghai Jiao Tong University)
Tuesday 29 January 2019, 15:00-16:00
Hurwitz stable and self-interlacing orthogonal polynomials.
â ī¸ Important: ASC - Approximation, sampling and compression in data science
- đ¤ Speaker: Mikhail Tyaglov (Shanghai Jiao Tong University)
- đ Date & Time: Tuesday 29 January 2019, 15:00 - 16:00
- đ Venue: Seminar Room 2, Newton Institute
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Abstract
In this survey talk, we consider a few examples of Hurwitz stable and their dual (the so-called) self-interlacing polynomials and discuss a number of interrelations between theory of orthogonal polynomials, moment theory, and the root distributions of polynomials. Some specific relations between the Jacobi polynomials and certain Hurwitz stable polynomials will be presented and an answer to a question of Geno Nikolov on interlacing properties of the Jacobi polynomials will be provided. We will also discuss the asymptotic behaviour of sequences of Hurwitz stable polynomials.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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