NORMS OF INVERSES AND CONDITION NUMBERS FOR MATRICES ASSOCIATED WITH SCATTERED DATA

被引：81

作者：

NARCOWICH, FJ

WARD, JD

机构：

[1] Department of Mathematics, Texas A and M University, College Station

来源：

JOURNAL OF APPROXIMATION THEORY | 1991年 / 64卷 / 01期

关键词：

D O I：

10.1016/0021-9045(91)90087-Q

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For interpolation matrices arising in connection with translates of a conditionally negative definite, radially symmetric Rs-function of order 1, we give a general method for obtaining bounds both on the norm of the inverse of the interpolation matrix and on the condition number of that matrix. We apply our method to obtain these bounds in several cases, including those associated with the functions √1 + ∥x∥22andlog(1 + ∥x∥22). © 1991.

引用

页码：69 / 94

页数：26

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