VANDERMONDE MATRICES ON THE CIRCLE - SPECTRAL PROPERTIES AND CONDITIONING

被引：20

作者：

CORDOVA, A

GAUTSCHI, W

RUSCHEWEYH, S

机构：

[1] UNIV TECN FEDERICO SANTA MARIA, DEPT MATEMAT, VALPARAISO, CHILE

[2] PURDUE UNIV, DEPT COMP SCI, W LAFAYETTE, IN 47907 USA

来源：

NUMERISCHE MATHEMATIK | 1990年 / 57卷 / 6-7期

关键词：

Subject Classifications: AMS(MOS): 15A12; 15A18; CR:; G1.3;

D O I：

10.1007/BF01386429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Vandermonde matrices whose nodes are given by a Van der Corput sequence on the unit circle. Our primary interest is in the singular values of these matrices and the respective (spectral) condition numbers. Detailed information about multiplicities and eigenvectors, however, is also obtained. Two applications are given to the theory of polynomials. © 1990 Springer-Verlag.

引用

页码：577 / 591

页数：15