Variational properties of the spectrum of positive operator-functions

DOI10.1007/BF00969028zbMATH Open0625.47012OpenAlexW1974013535MaRDI QIDQ579600

B. A. Ivanov

Publication date: 1985

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969028

zbMATH Keywords

iterative methodvariational propertiesBanach space with a coneminimal positive eigenvaluepositive eigenvalues of the spectral problempositive operator function

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on ordered spaces (47B60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Approximate computation of the positive eigenvalue of a positive operator with a nonlinear occurrence of a parameter
• Eigenwerte von Operatorpolynomen
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• On the polynomial eigenvalue problem with positive operators and location of the spectral radius

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