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...
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...
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...
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...
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...