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FOCM
2008
101views more  FOCM 2008»
15 years 6 months ago
Algorithms for Differential Invariants of Symmetry Groups of Differential Equations
We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential invariants of Lie symmetry pseudo-groups of differential...
Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto
JSC
2006
132views more  JSC 2006»
15 years 6 months ago
From an approximate to an exact absolute polynomial factorization
We propose an algorithm for computing an exact absolute factorization of a bivariate polynomial from an approximate one. This algorithm is based on some properties of the algebrai...
Guillaume Chèze, André Galligo
MP
2006
134views more  MP 2006»
15 years 6 months ago
Cubic regularization of Newton method and its global performance
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Yurii Nesterov, Boris T. Polyak
AMC
2005
112views more  AMC 2005»
15 years 6 months ago
Mechanization for solving SPP by reducing order method
In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of reduction of order approximation method for solving singula...
Zhenqing Li, Weiming Wang
DCG
2002
62views more  DCG 2002»
15 years 6 months ago
Degrees of Real Wronski Maps
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main res...
A. Eremenko, Andrei Gabrielov