Nested bounds for the spectral radius

DOI10.1007/BF02165099zbMath0221.65063OpenAlexW1978130075MaRDI QIDQ2547444

Richard S. Varga, Ivo Marek

Publication date: 1969

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131942

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (11)

The principal eigenvalue of some \(n\)th order linear boundary value problems ⋮ Inequalities of Rayleigh quotients and bounds on the spectral radius of nonnegative symmetric matrices ⋮ Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients ⋮ On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator ⋮ Comparison theorems for weak splittings of bounded operators ⋮ Collatz-Wielandt numbers in general partially ordered spaces ⋮ A sequence of lower bounds for the spectral radius of nonnegative matrices ⋮ Lower bounds for the Perron root of a nonnegative matrix ⋮ Zur Bestimmung der Frobeniuswurzel nichtnegativer Matrizen ⋮ Reguläre Zerlegung und Berechnung des Spektralradius nichtnegativer Matrizen ⋮ On the Collatz-Wielandt sets associated with a cone-preserving map

Cites Work

• Halbgeordnete lokalkonvexe Vektorräume
• Halbgeordnete lokalkonvexe Vektorräume. II
• On the singularities of an analytic function with values in a Banach space
• Some spectral properties of positive linear operators
• Eigenwerte von Operatorpolynomen
• Einschließungssätze bei normalen und bei positiven Operatoren
• A computational method for the dominant root of a nonnegative irreducible matrix
• Über reguläre Zerlegungen von Matrizen und einige Anwendungen
• Eigenwertaufgaben bei monotonen Operatoren und Fehlerabschätzungen für Operatorgleichungen. (Eigenvalue problems for monotone operators and error estimations for operator equations.)
• Einschliessungssatz für die charakteristischen Zahlen von Matrizen
• Spectral properties of the ${\Cal K}$-positive operators and inclusion theorems for the spectral radius
• Nested Bounds for the Spectral Radius
• On the polynomial eigenvalue problem with positive operators and location of the spectral radius
• Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process
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