Cited By
View all- Gao XVan der Hoeven JYuan CZhang G(2009)Characteristic set method for differential-difference polynomial systemsJournal of Symbolic Computation10.1016/j.jsc.2008.02.01044:9(1137-1163)Online publication date: 1-Sep-2009
We prove several basic properties for difference ascending chains, including a necessary and sufficient condition for an ascending chain to be the characteristic set of its saturation ideal and a necessary and sufficient condition for an ascending chain ...
In this paper, we present an algorithm to decompose ordinary non-linear difference polynomials with rational functions as coefficients. The algorithm provides an effective reduction of the decomposition of difference polynomials to the decomposition of ...
The structure of cubature formulae of degree 2n 1 is studied from a polynomial ideal point of view. The main result states that if I is a polynomial ideal generated by a proper set of (2n 1)-orthogonal polynomials and if the cardinality of the variety V(...
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