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H-bases for polynomial interpolation and system solving (2000)

Möller, H. Michael ; Sauer, Thomas

Springer

Advances in computational mathematics 12 (2000), S. 335-362

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ISSN: 1572-9044

Schlagwort(e): ideal bases ; Gröbner bases ; multivariate polynomials ; interpolation ; systems of polynomial equations ; 65D05 ; 65H10 ; 13P10

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1018937723499

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