منابع مشابه
Sensitivity analysis for Szegő polynomials
Szegő polynomials are orthogonal with respect to an inner product on the unit circle. Numerical methods for weighted least-squares approximation by trigonometric polynomials conveniently can be derived and expressed with the aid of Szegő polynomials. This paper discusses the conditioning of several mappings involving Szegő polynomials and, thereby, sheds light on the sensitivity of some approxi...
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The first Szegő limit theorem has been extended by Bump-Diaconis and Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which extends a theorem of Helson and Lowdenslager. §
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2009
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-009-0230-x