Conditionality Analysis of the Radial Basis Function Matrix

被引：4

作者：

Cervenka, Martin ^{[1
]}

Skala, Vaclav ^{[1
]}

机构：

[1] Univ West Bohemia, Fac Appl Sci, Plzen, Czech Republic

来源：

COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2020, PT II | 2020年 / 12250卷

关键词：

Radial basis function; System of linear equations; Condition number; Matrix conditionality; APPROXIMATION;

D O I：

10.1007/978-3-030-58802-1_3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The global Radial Basis Functions (RBFs) may lead to illconditioned system of linear equations. This contribution analyzes conditionality of the Gauss and the Thin Plate Spline (TPS) functions. Experiments made proved dependency between the shape parameter and number of RBF center points where the matrix is ill-conditioned. The dependency can be further described as an analytical function.

引用

页码：30 / 43

页数：14

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