Verlagslink DOI: 10.1137/18M119207X
Titel: Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions
Sprache: Englisch
Autor/Autorin: Le Borne, Sabine  
Schlagwörter: Factorization; Ill-conditioning; Kernel-based interpolation; Radial basis function; Stable; Symmetrization; Truncation
Erscheinungs­datum: 2019
Quellenangabe: SIAM Journal on Matrix Analysis and Applications 2 (40): 517-541 (2019)
Zusammenfassung (englisch): 
Radial basis function (RBF) interpolation is a powerful, meshfree tool for function approximation but its direct implementation might suffer from severe ill-conditioning as the shape parameter decreases. We build upon RBF-GA, a stable approach for Gaussian RBFs, and derive its representation in terms of a matrix factorization which can then be generalized to a symmetrized version. This symmetrized version requires fewer function evaluations, yields new insight into the flat limit case, and, combined with diagonal scaling, allows a further reduction of the condition number. We also propose a truncated version of the basis transformation. We conclude with numerical tests to illustrate the performance of all introduced interpolation methods.
URI: http://hdl.handle.net/11420/3272
ISSN: 0895-4798
Zeitschrift: SIAM journal on matrix analysis and applications 
Institut: Mathematik E-10 
Dokumenttyp: Artikel/Aufsatz
Enthalten in den Sammlungen:Publications without fulltext

Zur Langanzeige

Seitenansichten

176
Letzte Woche
1
Letzten Monat
2
checked on 01.10.2022

SCOPUSTM   
Zitate

2
Letzte Woche
0
Letzten Monat
0
checked on 30.06.2022

Google ScholarTM

Prüfe

Volltext ergänzen

Feedback zu diesem Datensatz

Diesen Datensatz zitieren

Export

Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt.