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ISSAC
2005
Springer
83views Mathematics» more  ISSAC 2005»
16 years 10 days ago
A procedure for proving special function inequalities involving a discrete parameter
We define a class of special function inequalities that contains many classical examples, such as the Cauchy-Schwarz inequality, and introduce a proving procedure based on induct...
Stefan Gerhold, Manuel Kauers
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
16 years 10 days ago
Half-GCD and fast rational recovery
Over the past few decades several variations on a “half GCD” algorithm for obtaining the pair of terms in the middle of a Euclidean sequence have been proposed. In the integer...
Daniel Lichtblau
ISSAC
2005
Springer
110views Mathematics» more  ISSAC 2005»
16 years 10 days ago
Multivariate power series multiplication
We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
Éric Schost
ISSAC
2005
Springer
63views Mathematics» more  ISSAC 2005»
16 years 10 days ago
Symbolic-numeric completion of differential systems by homotopy continuation
Two ideas are combined to construct a hybrid symbolicnumeric differential-elimination method for identifying and including missing constraints arising in differential systems. F...
Greg Reid, Jan Verschelde, Allan D. Wittkopf, Weny...
ISSAC
2005
Springer
70views Mathematics» more  ISSAC 2005»
16 years 10 days ago
Approximation of dynamical systems using s-systems theory: application to biological systems
In this article we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm uses a symbolic manipulation of ODE in...
Laurent Tournier