Title
Electrostatics and ghost poles in near best fixed pole rational interpolation Electrostatics and ghost poles in near best fixed pole rational interpolation
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Kent, Ohio ,
Subject
Mathematics
Source (journal)
Electronic transactions on numerical analysis. - Kent, Ohio
Volume/pages
26(2007) , p. 439-452
ISSN
1068-9613
ISI
000252984600023
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
We consider points that are near best for rational interpolation with prescribed poles in the same sense that Chebyshev points are near best for polynomial interpolation. It is shown that these interpolation points satisfy an electrostatic equilibrium problem involving the fixed poles and certain 'ghost' poles. This problem is closely related to Lame equations with residues of mixed sign.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/c041bc/7509.pdf
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