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» On the decomposition of rational functions
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JCT
2010
81views more  JCT 2010»
13 years 7 months ago
On the probability of a rational outcome for generalized social welfare functions on three alternatives
In [11], Kalai investigated the probability of a rational outcome for a generalized social welfare function (GSWF) on three alternatives, when the individual preferences are unifo...
Nathan Keller
MOC
2002
62views more  MOC 2002»
13 years 8 months ago
Landen transformations and the integration of rational functions
Abstract. We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class...
George Boros, Victor H. Moll
DAGSTUHL
2008
13 years 10 months ago
Error Bounds for Lanczos Approximations of Rational Functions of Matrices
Abstract. Having good estimates or even bounds for the error in computing approximations to expressions of the form f(A)v is very important in practical applications. In this paper...
Andreas Frommer, Valeria Simoncini
MICS
2010
107views more  MICS 2010»
13 years 7 months ago
The Newton Polygon of a Rational Plane Curve
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret...
Carlos D'Andrea, Martín Sombra
ICASSP
2009
IEEE
13 years 6 months ago
Rational canonical form of polyphase matrices with applications to designing paraunitary filter banks
In this paper we consider the rational canonical form of arbitrary polyphase matrices and use it to derive a simple implementation of paraunitary filter banks (PUFBs) based on a c...
Peter G. Vouras, Trac Tran, Michael Ching