ISSN:
1572-9265
Schlagwort(e):
interpolation
;
rational interpolation
;
barycentric representation
;
barycentric weights
;
complexity
;
65D05
;
41A05
;
41A20
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Informatik
,
Mathematik
Notizen:
Abstract Among the representations of rational interpolants, the barycentric form has several advantages, for example, with respect to stability of interpolation, location of unattainable points and poles, and differentiation. But it also has some drawbacks, in particular the more costly evaluation than the canonical representation. In the present work we address this difficulty by diminishing the number of interpolation nodes embedded in the barycentric form. This leads to a structured matrix, made of two (modified) Vandermonde and one Löwner, whose kernel is the set of weights of the interpolant (if the latter exists). We accordingly modify the algorithm presented in former work for computing the barycentric weights and discuss its efficiency with several examples.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1019180807534
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