Comparisons of spectral radii and the theorem of Stein-Rosenberg

DOI10.1016/S0024-3795(01)00603-6zbMath0997.65060MaRDI QIDQ1601639

Wen Li, Ludwig Elsner, Lin-Zhang Lu

Publication date: 27 June 2002

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

zbMATH Keywords

Stein-Rosenberg theorem\(M\)-splittingscomparisons of spectral radii

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Reuben Louis Rosenberg (1909--1986) and the Stein-Rosenberg theorem ⋮ On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings ⋮ Comparison theorems of spectral radius for splittings of matrices

Cites Work

• Applications of Perron-Frobenius theory to population dynamics
• Theorems on M-splittings of a singular M-Matrix which depend on graph structure
• Generalized Stein-Rosenberg theorems for the regular splittings and convergence of some generalized iterative methods
• On the Solution of Linear Simultaneous Equations By Iteration
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