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ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
13 years 9 months ago
On computational properties of chains of recurrences
Backward and mixed chains of recurrences are introduced. A complete set of chains of recurrences manipulation tools is described. Applications of these tools, related to the safet...
Eugene V. Zima
ISSAC
2001
Springer
129views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Computation of the degree of rational maps between curves
The degree of a rational map measures how often the map covers the image variety. In particular, when the rational map is a parametrization, the degree measures how often the para...
J. Rafael Sendra, Franz Winkler
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
13 years 9 months ago
A probabilistic algorithm to test local algebraic observability in polynomial time
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
Alexandre Sedoglavic
ISSAC
2001
Springer
119views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Algorithms for trigonometric polynomials
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonomet...
Jamie Mulholland, Michael B. Monagan
ISSAC
2001
Springer
133views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Irreducible trinomials over finite fields
A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special ca...
Joachim von zur Gathen
ISSAC
2001
Springer
87views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Unirational fields of transcendence degree one and functional decomposition
In this paper we present an algorithm to compute all unirational fields of transcendence degree one containing a given finite set of multivariate rational functions. In particul...
Jaime Gutierrez, Rosario Rubio San Miguel, David S...
ISSAC
2001
Springer
108views Mathematics» more  ISSAC 2001»
13 years 9 months ago
On computer-assisted classification of coupled integrable equations
Mikhail V. Foursov, Marc Moreno Maza