CASC
2010
Springer
13 years 9 months ago
2010
Springer
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
CASC
2010
Springer
13 years 10 months ago
2010
Springer
CASC
2010
Springer
13 years 10 months ago
2010
Springer
CASC
2010
Springer
13 years 10 months ago
2010
Springer
In this paper, we consider systems of algebraic and non-linear partial differential equations and inequations. We decompose these system into so-called simple subsystems and there...
CASC
2010
Springer
13 years 11 months ago
2010
Springer
CASC
2010
Springer
13 years 11 months ago
2010
Springer
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
CASC
2010
Springer
13 years 11 months ago
2010
Springer
Computer algebra in scientific computation squarely faces the dilemma of natural mathematical expression versus efficiency. While higher-order programming constructs and parametri...
CASC
2010
Springer
13 years 11 months ago
2010
Springer
Convexity is an important property in nonlinear optimization since it allows to apply efficient local methods for finding global solutions. We propose to apply symbolic methods t...