Regular splittings and monotone iteration functions

DOI10.1007/BF01390420zbMath0571.65043OpenAlexW2038785199MaRDI QIDQ1061451

Peter Volkmann, G. E. Alefeld

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/132992

zbMATH Keywords

iteration methodsregular splittingpartially ordered Banach spacesmonotone iteration functions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items

Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations. II ⋮ Nonnegative splitting theory ⋮ Zur Konvergenz des SSOR-Verfahrens für nichtlineare Gleichungssysteme. (Convergence of the SSOR method for nonlinear systems of simultaneous equations) ⋮ Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination ⋮ On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods ⋮ The monotone convergence rate of the parallel nonlinear AOR method ⋮ Parallel nonlinear AOR method and its convergence ⋮ The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems ⋮ On asynchronous iterations in partially ordered spaces ⋮ Comparison theorems for weak splittings of bounded operators ⋮ On the monotone convergence of multisplitting method for a class of systems of weakly nonlinear equations ⋮ New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparisons of regular splittings of matrices
• Operator inequalities
• Über reguläre Zerlegungen bei nichtlinearen Abbildungen