ON THE PTAK-YOUNG GENERALIZATION OF THE SCHUR-COHN THEOREM

被引：2

作者：

ACKNER, R

KAILATH, T

机构：

[1] Information Systems Laboratory, Stanford University, Stanford

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 10期

关键词：

D O I：

10.1109/9.256392

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We give a new proof of the Ptak-Young generalization of the Schur-Cohn theorem which shows that the inertia of a certain generalized Bezoutian matrix determines the root-distribution of a polynomial with respect to the unit disk. We show that the Ptak-Young theorem can also be formulated in terms of a Pick matrix. We also note that the generalized Bezoutian is a structured matrix having a so-called generalized displacement structure.

引用

页码：1601 / 1604

页数：4

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