A hybrid of the Newton-GMRES and electromagnetic meta-heuristic methods for solving systems of nonlinear equations
From MaRDI portal
Publication:1043368
DOI10.1007/s10852-009-9117-1zbMath1179.65054OpenAlexW1973314734WikidataQ124811160 ScholiaQ124811160MaRDI QIDQ1043368
Jafar Saberi-Nadjafi, Faezeh Toutounian, Seyyed Hassan Taheri
Publication date: 8 December 2009
Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10852-009-9117-1
convergenceNewton's methodnumerical examplessystems of nonlinear equationsNewton-GMRES methodelectromagnetic meta-heuristic method
Numerical computation of solutions to systems of equations (65H10) Approximation methods and heuristics in mathematical programming (90C59)
Related Items
Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations ⋮ On a new method for computing the numerical solution of systems of nonlinear equations ⋮ A class of Steffensen-type iterative methods for nonlinear systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Successive column correction algorithms for solving sparse nonlinear systems of equations
- A dynamic programming heuristic for the \(P\)-median problem
- Convergence rates for inexact Newton-like methods at singular points and applications
- Convergence of partially asynchronous block quasi-Newton methods for nonlinear systems of equations
- Inexact trust region method for large sparse systems of nonlinear equations
- An electromagnetism-like mechanism for global optimization
- Newton generalized Hessenberg method for solving nonlinear systems of equations
- A new method for solving a system of the nonlinear equations
- Hybrid Krylov Methods for Nonlinear Systems of Equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Testing Unconstrained Optimization Software
- Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
- Inexact Newton Methods
- Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
- Mersenne twister
- Numerical Optimization
- Convergence behaviour of inexact Newton methods
- A Block-Parallel Newton Method via Overlapping Epsilon Decompositions
- Inexact Block Jacobi--Broyden Methods for Solving Nonlinear Systems of Equations
- Solving nonlinear systems of equations by means of quasi-neston methods with a nonmonotone stratgy∗
- Trust Region Methods
- A New Sparsity Preserving Quasi-Newton Update for Solving Nonlinear Equations
- Numerical Solution of Large Sets of Algebraic Nonlinear Equations
- A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods
- A Class of Methods for Solving Nonlinear Simultaneous Equations
