Collatz-Wielandt numbers in general partially ordered spaces
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Publication:1194289
DOI10.1016/0024-3795(92)90427-CzbMath0777.47003MaRDI QIDQ1194289
Publication date: 27 September 1992
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
partially ordered Banach spacenecessary and sufficient conditions for convergenceconvergence of the Collatz-Wielandt numbersspectral radius of a \(K\)- nonnegative linear operator
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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