Gröbner bases and generalized sylvester matrices
نویسندگان
چکیده
منابع مشابه
Gröbner bases and generalized Padé approximation
It is shown how to find general multivariate Padé approximation using the Gröbner basis technique. This method is more flexible than previous approaches, and several examples are given to illustrate this advantage. When the number of variables is small compared to the degree of approximation, the Gröbner basis technique is more efficient than the linear algebra methods in the literature.
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Before surveying the results of the paper, we introduce path algebras. Path algebras play a central role in the representation theory of finite-dimensional algebras (Gabriel, 1980; Auslander et al., 1995; Bardzell, 1997) and the theory of Gröbner bases (Bergman, 1978; Mora, 1986; Farkas et al., 1993) has been an important tool in some results (Feustel et al., 1993; Green and Huang, 1995; Bardze...
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ژورنال
عنوان ژورنال: ACM Communications in Computer Algebra
سال: 2011
ISSN: 1932-2240
DOI: 10.1145/2016567.2016594