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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191016T142925Z
DTSTART:20191025T130000Z
DTEND:20191025T140000Z
SUMMARY:Marcus Webb - Beyond Chebyshev Technology
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}cm6-k0rvcn8
 s-ceyvml
DESCRIPTION:Marcus Webb will be speaking at this seminar.\n\nAbstract : C
 hebfun is a MATLAB software package for computing numerically with funct
 ions\, whose inner workings boil down essentially to approximating funct
 ions by Chebyshev polynomial expansions. In this talk we’ll discuss prob
 lems in which Chebyshev polynomials are not the best basis to use\, nece
 ssitating the transformation to other bases such as Legendre and other J
 acobi polynomials (and back again to Chebyshev). The main part of the ta
 lk will be on the state-of-the-art algorithm for transforming between di
 fferent families of Jacobi polynomials\, due to Townsend\, myself\, and 
 Olver (https://doi.org/10.1090/mcom/3277)\, which involves Toeplitz matr
 ices\, Hankel matrices\, low-rank matrix approximation\, and the FFT. Th
 e analysis involves some rational approximation problems of Zolotarev (h
 ttps://doi.org/10.1137/19M1244433). We conclude with interesting related
  miscellanea.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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