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Norms of powers of matrices with constrained spectra. (English) Zbl 0401.15014


MSC:

15A45 Miscellaneous inequalities involving matrices
Full Text: DOI

References:

[1] Potapov, V. P., The multiplicative structure of \(J\)-contractive matrix functions, Amer. Math. Soc. Transl., 15, 131-243 (1960) · Zbl 0090.05403
[2] Pták, Vl., Norms and the spectral radius of a matrix, Czechoslovak Math. J., 87, 555-557 (1962) · Zbl 0116.25301
[3] Pták, Vl., Spectral radius, norms of iterates and the critical exponent, Linear Algebra and Appl., 1, 245-260 (1968) · Zbl 0159.32304
[4] Sz.-Nagy, B., Sur la norme des fonctions de certains opérateurs, Acta Math. Acad. Sci. Hungar., 20, 331-334 (1969) · Zbl 0189.44401
[5] Wilkinson, J. H., The Algebraic Eigenvalue Problem (1965), Oxford U.P · Zbl 0258.65037
[6] Young, N. J., Analytic programmes in matrix algebras, Proc. London Math. Soc., 36, 3, 226-241 (1978) · Zbl 0379.65023
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