On sequences, rational functions and decomposition
نویسندگان
چکیده
منابع مشابه
Rational Krylov sequences and Orthogonal Rational Functions
In this paper we study the relationship between spectral decomposition, orthogonal rational functions and the rational Lanczos algorithm, based on a simple identity for rational Krylov sequences.
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Let f := p/q ∈ K(x) be a rational function in one variable. By Lüroth’s theorem, the collection of intermediate fields K(f) ( L ( K(x) is in bijection with inequivalent proper decompositions f = g ◦ h, with g, h ∈ K(x) of degrees ≥ 2. In (Alonso, Gutierrez & Recio 1995) an algorithm is presented to calculate such a function decomposition. In this paper we describe a simplification of this algor...
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ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2015
ISSN: 0938-1279,1432-0622
DOI: 10.1007/s00200-015-0256-5