Research on the Interpolation System of the Conical Radial Basis Function Algorithm

This study investigates the interpolation system parameter-free conical radial basis function algorithm.The effective condition number (ECN) is considered.The main difference between ECN and the traditional condition numbers is in that the ECN takes into account the right-hand side vector to estimates system stability.Even the ECN is a superior criterion over the traditional condition number for some numerical methods, it is not obvious for the conical radial basis function algorithm.Numerical results show that the ECN is not roughly inversely proportional to the numerical accuracy.

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Publication Details

Journal
International Journal of Latest Engineering Research and Applications (IJLERA)
Published
2024-11-30
DOI
https://doi.org/10.56581/ijlera.9.11.01-04
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Research on the Interpolation System of the Conical Radial Basis Function Algorithm

Yanyan Feng, Fei Yang, Chanyuan Wang
International Journal of Latest Engineering Research and Applications (IJLERA)
Advanced Numerical Analysis Techniques
article

Research on the Interpolation System of the Conical Radial Basis Function Algorithm

Yanyan Feng, Fei Yang, Chanyuan Wang
article en

Abstract

This study investigates the interpolation system parameter-free conical radial basis function algorithm.The effective condition number (ECN) is considered.The main difference between ECN and the traditional condition numbers is in that the ECN takes into account the right-hand side vector to estimates system stability.Even the ECN is a superior criterion over the traditional condition number for some numerical methods, it is not obvious for the conical radial basis function algorithm.Numerical results show that the ECN is not roughly inversely proportional to the numerical accuracy.

International Journal of Latest Engineering Research and Applications (IJLERA)Vol. 9(11)
Education Department of Jiangxi Province
Openalex Percentile: Top 73%
Advanced Numerical Analysis Techniques
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