Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients

DOI10.1016/S0024-3795(97)89323-8zbMath0910.47007MaRDI QIDQ1375083

B. Nagy, Karl-Heinz Förster

Publication date: 12 April 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

spectral radiusCollatz-Wielandt numberslocal characteristicsnonnegative operatoroperator polynomial

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Positive linear operators and order-bounded operators (47B65) Local spectral properties of linear operators (47A11)

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Cites Work

• The effect of the number of processors on the convergence of the parallel block Jacobi method
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• An introduction to operator polynomials
• Banach lattices
• Some properties of the spectral radius of a monic operator polynomial with nonnegative compact coefficients
• On the peripheral spectrum of monic operator polynomials with positive coefficients
• Collatz-Wielandt numbers in general partially ordered spaces
• Eigenwerte von Operatorpolynomen
• Nested bounds for the spectral radius
• The Growth of Powers of a Nonnegative Matrix
• Asymptotic intertwining and spectral inclusions on Banach spaces
• On the polynomial eigenvalue problem with positive operators and location of the spectral radius
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