A new adaptive trust-region method for system of nonlinear equations
From MaRDI portal
Publication:1630742
DOI10.1016/j.apm.2013.11.023zbMath1427.65080OpenAlexW2030832702MaRDI QIDQ1630742
Hamid Esmaeili, Morteza Kimiaei
Publication date: 10 December 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.11.023
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)
Related Items (16)
A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations ⋮ A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints ⋮ A novel hybrid trust region algorithm based on nonmonotone and LOOCV techniques ⋮ A new restarting adaptive trust-region method for unconstrained optimization ⋮ A novel parameter estimation method for muskingum model using new Newton-type trust region algorithm ⋮ A trust-region approach with novel filter adaptive radius for system of nonlinear equations ⋮ A new nonmonotone line-search trust-region approach for nonlinear systems ⋮ A Cauchy point direction trust region algorithm for nonlinear equations ⋮ An effective adaptive trust region algorithm for nonsmooth minimization ⋮ An efficient line search trust-region for systems of nonlinear equations ⋮ An efficient conjugate gradient trust-region approach for systems of nonlinear equation ⋮ Impulse noise removal by an adaptive trust-region method ⋮ An efficient two-step trust-region algorithm for exactly determined consistent systems of nonlinear equations ⋮ AN IMPROVED ADAPTIVE TRUST-REGION METHOD FOR UNCONSTRAINED OPTIMIZATION ⋮ Unnamed Item ⋮ A trust-region method with improved adaptive radius for systems of nonlinear equations
Uses Software
Cites Work
- An efficient nonmonotone trust-region method for unconstrained optimization
- A nonmonotone trust region method with adaptive radius for unconstrained optimization problems
- An improved trust region algorithm for nonlinear equations
- A BFGS trust-region method for nonlinear equations
- Limited memory BFGS method with backtracking for symmetric nonlinear equations
- Convergence rate of the trust region method for nonlinear equations under local error bound condition
- A truncated nonmonotone Gauss-Newton method for large-scale nonlinear least-squares problems
- Tensor methods for large sparse systems of nonlinear equations
- Nonmonotonic trust region algorithm
- Truncated trust region methods based on preconditioned iterative subalgorithms for large sparse systems of nonlinear equations
- A new trust region method for nonlinear equations
- Nonmonotone derivative-free methods for nonlinear equations
- A nonmonotone trust-region line search method for large-scale unconstrained optimization
- A new trust region method for unconstrained optimization
- An adaptive trust region method and its convergence
- An effective trust-region-based approach for symmetric nonlinear systems
- A class of nonmonotone Armijo-type line search method for unconstrained optimization
- A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius
- A new trust-region method with line search for solving symmetric nonlinear equations
- A Family of Quasi-Newton Methods for Nonlinear Equations with Direct Secant Updates of Matrix Factorizations
- On the inexactness level of robust Levenberg–Marquardt methods
- Tensor Methods for Nonlinear Equations
- The “global” convergence of Broyden-like methods with suitable line search
- Testing Unconstrained Optimization Software
- On the Convergence of Broyden's Method for Nonlinear Systems of Equations
- A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
- Trust Region Methods
- A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
- Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
- A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
- Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
- Numerical Solution of Large Sets of Algebraic Nonlinear Equations
- A Nonmonotone Line Search Technique for Newton’s Method
- Modified Gauss–Newton scheme with worst case guarantees for global performance
- The Convergence of an Algorithm for Solving Sparse Nonlinear Systems
- Benchmarking optimization software with performance profiles.
This page was built for publication: A new adaptive trust-region method for system of nonlinear equations
