The Bezout number of piecewise algebraic curves |
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| Authors: | Dian Xuan Gong Ren Hong Wang |
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| Institution: | 1. College of Sciences, Hebei United Universtiy, Tangshan, 063009, P. R. China
2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P. R. China
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| Abstract: | Based on the discussion of the number of roots of univariate spline and the common zero points of two piecewise algebraic curves, a lower upbound of Bezout number of two piecewise algebraic curves on any given non-obtuse-angled triangulation is found. Bezout number of two piecewise algebraic curves on two different partitions is also discussed in this paper. |
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| Keywords: | Bezout number piecewise algebraic curve periodic spline univariate spline |
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