A new trust region method for nonlinear equations
From MaRDI portal
Publication:1416792
DOI10.1007/s001860300302zbMath1043.65072OpenAlexW2080003833MaRDI QIDQ1416792
Publication date: 16 December 2003
Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s001860300302
Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53)
Related Items (51)
The Hager–Zhang conjugate gradient algorithm for large-scale nonlinear equations ⋮ A non-monotone pattern search approach for systems of nonlinear equations ⋮ On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation ⋮ A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations ⋮ A new adaptive trust-region method for system of nonlinear equations ⋮ A trust region spectral method for large-scale systems of nonlinear equations ⋮ A new adaptive trust region algorithm for optimization problems ⋮ A Globally Convergent Trust-Region Method for Large-Scale Symmetric Nonlinear Systems ⋮ A nonmonotone filter trust region method for the system of nonlinear equations ⋮ Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations ⋮ A trust-region-based BFGS method with line search technique for symmetric nonlinear equations ⋮ A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints ⋮ On the modified trust region algorithm for nonlinear equations ⋮ A superlinearly convergent hybrid algorithm for systems of nonlinear equations ⋮ Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization ⋮ An improved trust region algorithm for nonlinear equations ⋮ A new filter algorithm for a system of nonlinear equations ⋮ Descent Perry conjugate gradient methods for systems of monotone nonlinear equations ⋮ Majorization-minimization-based Levenberg-Marquardt method for constrained nonlinear least squares ⋮ A BFGS trust-region method for nonlinear equations ⋮ Limited memory BFGS method with backtracking for symmetric nonlinear equations ⋮ An adaptive trust region algorithm for large-residual nonsmooth least squares problems ⋮ On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization ⋮ Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations ⋮ A trust-region approach with novel filter adaptive radius for system of nonlinear equations ⋮ Nonlinear stepsize control algorithms: complexity bounds for first- and second-order optimality ⋮ A BFGS algorithm for solving symmetric nonlinear equations ⋮ A trust region method for optimization problem with singular solutions ⋮ A new nonmonotone line-search trust-region approach for nonlinear systems ⋮ Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization ⋮ A Cauchy point direction trust region algorithm for nonlinear equations ⋮ Limited memory technique using trust regions for nonlinear equations ⋮ An efficient line search trust-region for systems of nonlinear equations ⋮ A Trust Region Algorithm with Conjugate Gradient Technique for Optimization Problems ⋮ On the worst-case complexity of nonlinear stepsize control algorithms for convex unconstrained optimization ⋮ Enhanced Dai-Liao conjugate gradient methods for systems of monotone nonlinear equations ⋮ A tensor trust-region model for nonlinear system ⋮ Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations ⋮ Descent three-term DY-type conjugate gradient methods for constrained monotone equations with application ⋮ An efficient conjugate gradient trust-region approach for systems of nonlinear equation ⋮ An efficient adaptive trust-region method for systems of nonlinear equations ⋮ A new trust-region method with line search for solving symmetric nonlinear equations ⋮ A modified PRP-type conjugate gradient projection algorithm for solving large-scale monotone nonlinear equations with convex constraint ⋮ An efficient two-step trust-region algorithm for exactly determined consistent systems of nonlinear equations ⋮ An effective trust-region-based approach for symmetric nonlinear systems ⋮ Improved convergence results of an efficient Levenberg-Marquardt method for nonlinear equations ⋮ A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations ⋮ Adaptive three-term family of conjugate residual methods for system of monotone nonlinear equations ⋮ Recent advances in trust region algorithms ⋮ A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations ⋮ A trust-region method with improved adaptive radius for systems of nonlinear equations
This page was built for publication: A new trust region method for nonlinear equations