ISSN:
1572-9044
Keywords:
ideal bases
;
Gröbner bases
;
multivariate polynomials
;
interpolation
;
systems of polynomial equations
;
65D05
;
65H10
;
13P10
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The H-basis concept allows, similarly to the Gröbner basis concept, a reformulation of nonlinear problems in terms of linear algebra. We exhibit parallels of the two concepts, show properties of H-bases, discuss their construction and uniqueness questions, and prove that n polynomials in n variables are, under mild conditions, already H-bases. We apply H-bases to the solution of polynomial systems by the eigenmethod and to multivariate interpolation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018937723499
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