INTERLACEMENT OF THE EVEN AND ODD SPECTRA OF REAL SYMMETRICAL TOEPLITZ MATRICES

被引：21

作者：

TRENCH, WF

机构：

[1] Department of Mathematics Trinity University, San Antonio, TX 78212

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 195卷

关键词：

D O I：

10.1016/0024-3795(93)90256-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

it is shown that for every n the even and odd spectra of real symmetric Toeplitz matrices T(n) = (t(r-s)r,s=1n are interlaced if t(r) = 1/pi integral-pi/0 f(theta)cos rtheta dtheta, r = 0,1,2,..., where f is monotonic and nonconstant.

引用

页码：59 / 68

页数：10

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