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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2003, Vol. 4 Issue (6): 740-744    DOI: 10.1631/jzus.2003.0740
Mathematics     
On the p-norm joint spectral radius
ZHOU Jia-li
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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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 wordsJoint spectral radius      Kronecker product      Matrix      Wavelets     
Received: 13 September 2002     
CLC:  O151.21  
  O241.6  
Cite this article:

ZHOU Jia-li. On the p-norm joint spectral radius. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2003, 4(6): 740-744.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2003.0740     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2003/V4/I6/740

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