Collatz-Wielandt numbers in general partially ordered spaces

DOI10.1016/0024-3795(92)90427-CzbMath0777.47003MaRDI QIDQ1194289

Ivo Marek

Publication date: 27 September 1992

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

zbMATH Keywords

partially ordered Banach spacenecessary and sufficient conditions for convergenceconvergence of the Collatz-Wielandt numbersspectral radius of a \(K\)- nonnegative linear operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60) Ordered normed spaces (46B40)

Related Items (4)

The principal eigenvalue of some \(n\)th order linear boundary value problems ⋮ Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients ⋮ Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes ⋮ Linear equations over cones and Collatz-Wielandt numbers

Cites Work

• On the singularities of an analytic function with values in a Banach space
• On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator
• On the Collatz-Wielandt sets associated with a cone-preserving map
• Einschließungssätze bei normalen und bei positiven Operatoren
• A computational method for the dominant root of a nonnegative irreducible matrix
• Nested bounds for the spectral radius
• Spectral properties of the ${\Cal K}$-positive operators and inclusion theorems for the spectral radius
• Nested Bounds for the Spectral Radius
• Approximate determination of spectral radius of a positive irreducible operator
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
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