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Symmetric Orthogonal Polynomials

Presented by: 
Peter Clarkson
Date: 
Thursday 21st November 2019 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
In this talk I will discuss symmetric orthogonal polynomials on the real line. Such polynomials give rise to orthogonal systems which have important applications in spectral methods, with several important advantages if their differentiation matrix is skew-symmetric and highly structured. Such orthogonal systems, where the differentiation matrix is skew-symmetric, tridiagonal and irreducible, have recently been studied by Iserles and Webb. The symmetric orthogonal polynomials studied will include generalisations of the classical Hermite weight and generalisations of the Freud weight.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons