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[2] Z. DOSTÁL: $l^{infty}$-norm of iterates and the spectral radius of matrices. to be published.
[3] V. PTÁK: 
Spectral radius, norms of iterates and the critical exponent. Linear Algebra and its Applications 1 (1968),  245-260. 
MR 0230744 
[4] N. J. YOUNG: 
Norms of powers of matrices with constrained spectra. Linear Algebra and its Applications, to appear. 
Zbl 0401.15014