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» On the decomposition of rational functions
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CAGD
2010
116views more  CAGD 2010»
13 years 8 months ago
On rational Minkowski Pythagorean hodograph curves
Minkowski Pythagorean hodograph curves are polynomial curves with polynomial speed, measured with respect to Minkowski norm. Curves of this special class are particularly well sui...
Jirí Kosinka, Miroslav Lávicka
SIAMSC
2010
95views more  SIAMSC 2010»
13 years 7 months ago
Interpreting IDR as a Petrov--Galerkin Method
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
Valeria Simoncini, Daniel B. Szyld
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
14 years 22 days ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
TIT
2010
98views Education» more  TIT 2010»
13 years 3 months ago
QR decomposition of Laurent polynomial matrices sampled on the unit circle
Abstract--We consider Laurent polynomial (LP) matrices defined on the unit circle of the complex plane. QR decomposition of an LP matrix A(s) yields QR factors Q(s) and R(s) that, ...
Davide Cescato, Helmut Bölcskei
ANTS
1998
Springer
135views Algorithms» more  ANTS 1998»
14 years 26 days ago
Fast Multiprecision Evaluation of Series of Rational Numbers
We describe two techniques for fast multiple-precision evaluation of linearly convergent series, including power series and Ramanujan series. The computation time for N bits is O(...
Bruno Haible, Thomas Papanikolaou