SCATTERED DATA INTERPOLATION BY LINEAR-COMBINATIONS OF TRANSLATES OF CONDITIONALLY POSITIVE DEFINITE FUNCTIONS

被引：4

作者：

GUO, KH ^{[1
]}

SUN, XP ^{[1
]}

机构：

[1] SW MISSOURI STATE UNIV,DEPT MATH,SPRINGFIELD,MO 65804

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1991年 / 12卷 / 1-2期

关键词：

SCATTERED DATA INTERPOLATION; LINEAR COMBINATIONS; CONDITIONALLY POSITIVE DEFINITE FUNCTIONS; DISTRIBUTIONS; FOURIER TRANSFORM;

D O I：

10.1080/01630569108816421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of interpolating scattered data in Euclidean spaces by linear combinations of translates of conditionally positive definite functions. We show that certain symmetric linear combinations of these functions give rise to nonsingular interpolation matrices. We also estimate the norms of inverses of these matrices.

引用

页码：137 / 152

页数：16

共 17 条

[1]

BALL K, 1990, INVERTIBILITY EUCLID

[2] ON THE MATRIX [(XI-XJ)3] AND THE CUBIC SPLINE CONTINUITY EQUATIONS [J].