Ecient Algorithms on Numbers, Polynomials, and Series (2007)
Paul Zimmermann, Summary Frederic Chyzak
For a computer algebra system, it is crucial to optimize the arithmetical operations on basic objects|numbers, polynomials, series,... In fact, two classes of objects can be distinguished: integers...
Tutte Polynomials in Square Grids (2007)
Marc Noy, Summary Frederic Chyzak
The Tutte polynomial of a graph G is a two-variable polynomial that records much information on G. In particular, dierent evaluations at integers provide the number of spanning trees, forests...
Eective Algebraic Analysis in Linear Control Theory (2007)
Alban Quadrat, Summary Frederic Chyzak
In the 1960's, Malgrange made use of D-module theory for studying linear systems of PDEs [2]. Several aspects of this approach, now called algebraic analysis, have then been made eective in the...