The Bezout Number for Piecewise Algebraic Curves 
 
Authors:  Xiquan Shi Renhong Wang 
 
Institution:  (1) Institute of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, P. R. China 
 
Abstract:  The computation of the Bezout number, the maximum number of intersection points between two piecewise algebraic curves whose common points are finite, is considered. A piecewise algebraic curve is a curve determined by a bivariate spline function. It is found that the maximum number of intersections depends not only on the degrees and the differentiability of the spline functions, but also on the structure of the partition on which the spline functions are defined. 
 
Keywords:  Linear systems AOR method error bound 
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