A note on generalized nonlinear diagonal dominance

DOI10.1016/j.jmaa.2005.09.021zbMath1093.65051OpenAlexW2066531934MaRDI QIDQ819634

Tai-Bin Gan, Ting-Zhu Huang, Jian Gao

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.09.021

zbMATH Keywords

convexityderivativecompactnessgeneralized diagonal dominancenonlinear functionGâteaux derivativenonlinear mappings between finite-dimensional spaces

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Equations involving nonlinear operators (general) (47J05)

Related Items (1)

Properties for the Perron complement of three known subclasses of \(H\)-matrices

Cites Work

• Generalized nonlinear diagonal dominance and applications to asynchronous iterative methods
• A concept of nonlinear block diagonal dominance
• On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows
• On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
• Nonlinear Generalizations of Matrix Diagonal Dominance with Application to Gauss–Seidel Iterations

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