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» On Coherence in Computer Algebra
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MP
2006
134views more  MP 2006»
15 years 4 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 4 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
108
Voted
DCG
2002
62views more  DCG 2002»
15 years 4 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
ENTCS
2002
78views more  ENTCS 2002»
15 years 4 months ago
What can we do with a Solution?
If S = 0 is a system of n equations and unknowns over C and S() = 0 to what extent can we compute with the point ? In particular, can we decide whether or not a polynomial express...
Simon Langley, Daniel Richardson
NPAR
2000
ACM
15 years 9 months ago
Interactive artistic rendering
We present an algorithm for rendering subdivision surface models of complex scenes in a variety of artistic styles using an interactively editable particle system. The algorithm i...
Matthew Kaplan, Bruce Gooch, Elaine Cohen