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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

On the p-norm joint spectral radius

Abstract: The p-norm joint spectral radius is defined by a bounded collection of square matrices with complex entries and of the same size. In the present paper the author investigates the p-norm joint spectral radius for integers. The method introduced in this paper yields some basic formulas for these spectral radii. The approach used in this paper provides a simple proof of Berger-Wang's relation concerning the ∞-norm joint spectral radius.

Key words: Joint spectral radius, Kronecker product, Matrix, Wavelets


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DOI:

10.1631/jzus.2003.0740

CLC number:

O151.21;O241.6

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Received:

2002-09-13

Revision Accepted:

2003-02-24

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