Year: 2003
Author: Ren-Hong Wang, Yi-Sheng Lai
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 473–480
Abstract
We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in $C^\mu$ spline ring.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10250
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 473–480
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Dimension Real piecewise algebraic variety $C^\mu$ spline ring.