A note on comparison theorems for nonnegative matrices

DOI10.1007/BF01389590zbMath0557.65020OpenAlexW2060249776MaRDI QIDQ761767

Michael Neumann, Valerie A. Miller

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/133044

zbMATH Keywords

comparisonregular splittingsmonotonic normsasymptotic rates of convergencenonnegative iteration matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Some comparison theorems for nonnegative splittings of matrices, Positive cones and convergence conditions for iterative methods based on splittings, Nonnegative splitting theory, Convergence of nested classical iterative methods for linear systems, A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices, Comparisons of weak regular splittings and multisplitting methods, Convergence and comparison theorems for a generalized alternating iterative method., On the Perron-Frobenius theory for complex matrices, Comparison theorems for weak splittings of bounded operators, Comparison theorems for weak splittings in respect to a proper cone of nonsingular matrices, On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings, Convergence and comparisons of waveform relaxation methods for initial value problems of linear ODE systems, Neighborhoods of Dominant Convergence for the SSOR Method, Optimization of the spectral radius of a product for nonnegative matrices, Sequential and parallel synchronous alternating iterative methods, On the convergence of asynchronous paracontractions with application to tomographic reconstruction from incomplete data, Comparison theorems for the convergence factor of iterative methods for singular matrices, On Perron-Frobenius property of matrices having some negative entries, Some comparison theorems for weak nonnegative splittings of bounded operators, Comparisons of nonnegative splittings of matrices

Cites Work

• Comparisons of regular splittings of matrices
• Factorization iterative methods, M-operators and H-operators
• Aufgaben monotoner Art
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
• A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
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