International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
18 Numerical Computation of Singular Points on Algebraic Surfaces
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An algorithm for computing discrete singular points of an algebraic surface is proposed based on divide and conquer subdivision technique and interval arithmetic. The algorithm guarantee to find all discrete singular points of an algebraic surface with any degree in any given cuboid within any given precision that is allowed by machine precision limit.