Parallel nonlinear AOR method and its convergence
From MaRDI portal
Publication:1913440
DOI10.1016/0898-1221(95)00190-5zbMath0859.65050OpenAlexW2026118979MaRDI QIDQ1913440
Publication date: 8 July 1996
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(95)00190-5
global convergenceparallel computationmonotone convergenceAOR method\(H\)-matrixmultisplitting\(A\)-matrixlarge scale systems of nonlinear algebraic equationsparallel nonlinear accelerated overrelaxation methods
Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)
Related Items (23)
Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems ⋮ Convergence improvement of relaxed multisplitting USAOR methods for \(H\)-matrices linear systems ⋮ On the convergence of modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems with \(H_+\)-matrices ⋮ AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure ⋮ The monotone convergence rate of the parallel nonlinear AOR method ⋮ The relaxed nonlinear PHSS-like iteration method for absolute value equations ⋮ Improved comparison theorem for the nonlinear multisplitting relaxation method ⋮ The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems ⋮ Asynchronous multisplitting aor method for a system of nonlinear algebraic equations ⋮ A note on the inner-outer iterative method for solving the linear equation \(Ax = b\) ⋮ On CSCS-based iteration methods for Toeplitz system of weakly nonlinear equations ⋮ Parallel multisplitting explicit AOR methods for numerical solutions of semilinear elliptic boundary value problems ⋮ 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 ⋮ Unnamed Item ⋮ Implementation of a modified Marder-Weitzner method for solving nonlinear eigenvalue problems ⋮ New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems ⋮ A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with \(P\)-matrices ⋮ 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
- Unnamed Item
- 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
- Multi-Splittings of Matrices and Parallel Solution of Linear Systems
- Parallel Algorithms for Nonlinear Problems
This page was built for publication: Parallel nonlinear AOR method and its convergence
