A generalization of the Stein-Rosenberg theorem to Banach spaces

DOI10.1007/BF01403677zbMath0426.47019OpenAlexW2083678597MaRDI QIDQ1136063

Juan Pedro Milaszewicz

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/132681

zbMATH Keywords

spectral radiusirreducible operatorsnonnegative completely continuous linear operatorsnormal reproducing cone

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)

Related Items (6)

Improving Jacobi and Gauss-Seidel iterations ⋮ Reuben Louis Rosenberg (1909--1986) and the Stein-Rosenberg theorem ⋮ On fixed point linear equations ⋮ Comparison theorems for weak splittings of bounded operators ⋮ Block Gauss elimination followed by a classical iterative method for the solution of linear systems. ⋮ Comparison theorems for splittings of monotone matrices

Cites Work

• Unnamed Item
• Autour du théorème de Stein-Rosenberg
• Über die Konvergenz des verallgemeinerten Seidelschen Verfahrens zur Lösung von Systemen linearer Gleichungen
• Reactor Criticality and Nonnegative Matrices
• $u_0 $-Positive Operators and Some of Their Applications
• Spectral Properties of Matrices which have Invariant Cones
• On the Solution of Linear Simultaneous Equations By Iteration

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