Basic properties of the projective product with application to products of column-allowable nonnegative matrices

被引：28

作者：

Le Gland, F ^{[1
]}

Mevel, L ^{[1
]}

机构：

[1] INRIA, IRISA, F-35042 Rennes, France

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2000年 / 13卷 / 01期

关键词：

projective product; Birkhoff contraction coefficient; cocycle; exponential forgetting; product of matrices;

D O I：

10.1007/PL00009860

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 use basic properties of the projective product to obtain exponential bounds for the Lipschitz constant associated with the projective product of column-allowable nonnegative matrices. We obtain similar bounds for the associated linear tangent maps.

引用

页码：41 / 62

页数：22

共 7 条

[1]

[Anonymous], 1981, Springer Series in Statistics

[2] ANALYSIS OF AN IDENTIFICATION ALGORITHM ARISING IN THE ADAPTIVE ESTIMATION OF MARKOV-CHAINS [J].