The monotone convergence rate of the parallel nonlinear AOR method

DOI10.1016/0898-1221(96)00013-2zbMath0851.65026OpenAlexW2051047195MaRDI QIDQ1912855

Zhong Zhi Bai

Publication date: 26 November 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00013-2

zbMATH Keywords

numerical exampleparallel computationsystems of nonlinear equations\(M\)-matricesaccelerated overrelaxationmultisplitting methodmonotone convergence rate

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)

Related Items (13)

AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure ⋮ The relaxed nonlinear PHSS-like iteration method for absolute value equations ⋮ The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems ⋮ A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems ⋮ On CSCS-based iteration methods for Toeplitz system of weakly nonlinear equations ⋮ Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem ⋮ A class of iteration methods based on the HSS for Toeplitz systems of weakly nonlinear equations ⋮ Systems of nonlinear algebraic equations with unique solution ⋮ DPMHSS-based iteration methods for solving weakly nonlinear systems with complex coefficient matrices ⋮ New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems ⋮ A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations ⋮ Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations ⋮ A new version of the accelerated overrelaxation iterative method

Cites Work

• Convergence of parallel multisplitting iterative methods for M-matrices
• On the convergence of the parallel multisplitting AOR algorithm
• Regular splittings and monotone iteration functions
• Convergence of relaxed parallel multisplitting methods
• Parallel nonlinear AOR method and its convergence
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Parallel Algorithms for Nonlinear Problems
• Unnamed Item

This page was built for publication: The monotone convergence rate of the parallel nonlinear AOR method