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A truncated Newton method with nonmonotone line search for unconstrained optimization

https://doi.org/10.1007/bf00940345
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Practical Methods of Optimization
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Linear and Nonlinear Programming
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Conjugate Direction Methods in Optimization
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Study on a memory gradient method for the minimization of functions
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A restricted trust region algorithm for unconstrained optimization
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Newton-type methods for unconstrained and linearly constrained optimization
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Truncated-Newton algorithms for large-scale unconstrained optimization
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The watchdog technique for forcing convergence in algorithms for constrained optimization
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Nonlinear programming 4
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Linear and nonlinear programming.
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Numerical Methods for Unconstrained Optimization
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Recent Advances in Optimization Techniques
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Inexact Newton Methods
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The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
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A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties
inferredcites →https://doi.org/10.1137/0723046openalex-snapshot
A Nonmonotone Line Search Technique for Newton’s Method
inferredcites →https://doi.org/10.1137/1.9781611971200openalex-snapshot
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
inferredcites →https://doi.org/10.1137/1024028openalex-snapshot
Practical Methods of Optimization, Vol. 1: Unconstrained Optimization (R. Fletcher)
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Testing Unconstrained Optimization Software
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Minimization of functions having Lipschitz continuous first partial derivatives
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Newton's method
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QDN: a variable storage algorithm for unconstrained optimization
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Numerical Methods for Unconstrained Optimization

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An exact penalty-Lagrangian approach for large-scale nonlinear programming
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A class of nonmonotone Armijo-type line search method for unconstrained optimization
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A non-monotone trust region algorithm for unconstrained optimization with dynamic reference iteration updates using filter
inferred← citeshttps://doi.org/10.1080/02331934.2013.840619openalex-snapshot
A BFGS trust-region method with a new nonmonotone technique for nonlinear equations
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Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization
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An efficient Levenberg–Marquardt method with a new LM parameter for systems of nonlinear equations
inferred← citeshttps://doi.org/10.1080/02331934.2018.1455833openalex-snapshot
On the convergence rate of scaled gradient projection method
inferred← citeshttps://doi.org/10.1080/02331934.2020.1808647openalex-snapshot
A Perry-type derivative-free algorithm for solving nonlinear system of equations and minimizing ℓ1regularized problem
inferred← citeshttps://doi.org/10.1080/02331934.2025.2475203openalex-snapshot
Nonmonotone Wolfe-type quasi-Newton methods for multiobjective optimization problems
inferred← citeshttps://doi.org/10.1080/02331939408844021openalex-snapshot
A variant of curved search method
inferred← citeshttps://doi.org/10.1080/02331939808844409openalex-snapshot
Cost approximation algorithms with nonmonotone line searches for a general class of nonlinear programs
inferred← citeshttps://doi.org/10.1080/0305215x.2026.2644585openalex-snapshot
On non-monotone based conjugate gradient methods for the learning task and signal recovery problem
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New non-monotone line search-based adaptive trust region for solving unconstrained optimization problems
inferred← citeshttps://doi.org/10.1080/10556780008805794openalex-snapshot
Exploiting negative curvature directions in linesearch methods for unconstrained optimization
inferred← citeshttps://doi.org/10.1080/10556780108805822openalex-snapshot
A curvilinear search algorithm for unconstrained optimization by automatic differentiation
inferred← citeshttps://doi.org/10.1080/10556780410001654197openalex-snapshot
A derivative-based algorithm for a particular class of mixed variable optimization problems
inferred← citeshttps://doi.org/10.1080/10556780410001689234openalex-snapshot
Conjugate gradient (CG)-type method for the solution of Newton's equation within optimization frameworks
inferred← citeshttps://doi.org/10.1080/10556780902769862openalex-snapshot
A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems
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A new nonmonotone trust region method for unconstrained optimization equipped by an efficient adaptive radius
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A cubic regularization algorithm for unconstrained optimization using line search and nonmonotone techniques
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A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization
inferred← citeshttps://doi.org/10.1080/10556789408805557openalex-snapshot
Vector performance criteria in the convergence analysis of optimization algorithms
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A parallel tensor algorithm for nonlinear optimization
inferred← citeshttps://doi.org/10.1089/bio.2015.0047openalex-snapshot
Comparison of the Fitting Validity Between the 2P Model and the Nondilute Solution Model Using Statistical Methods in Modeling Cell Membrane Permeabilities
inferred← citeshttps://doi.org/10.1109/81.768825openalex-snapshot
A Bayesian approach to edge detection in noisy images
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A Second Order Algorithm for MCP Regularized Optimization
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A Non-monotone Memory Gradient Method for Unconstrained Optimization
inferred← citeshttps://doi.org/10.1109/icic.2010.263openalex-snapshot
On the Non-monotone Armijo-type Line Search Algorithm
inferred← citeshttps://doi.org/10.1134/s1607672912030076openalex-snapshot
Thermoluminescence and conformational transitions in the primary processes of photosynthesis
inferred← citeshttps://doi.org/10.1137/070710810openalex-snapshot
Computing Points that Satisfy Second Order Necessary Optimality Conditions for Unconstrained Minimization
inferred← citeshttps://doi.org/10.1137/140978971openalex-snapshot
A Feasible Active Set Method with Reoptimization for Convex Quadratic Mixed-Integer Programming
inferred← citeshttps://doi.org/10.1137/22m1469663openalex-snapshot
Convergence of a Class of Nonmonotone Descent Methods for Kurdyka–Łojasiewicz Optimization Problems
inferred← citeshttps://doi.org/10.1137/s1052623403428208openalex-snapshot
A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
inferred← citeshttps://doi.org/10.1137/s1052623494278049openalex-snapshot
On Some Properties of Quadratic Programs with a Convex Quadratic Constraint
inferred← citeshttps://doi.org/10.1137/s1052623495295250openalex-snapshot
Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization
inferred← citeshttps://doi.org/10.1137/s1052623499359890openalex-snapshot
A Truncated Newton Algorithm for Large Scale Box Constrained Optimization
inferred← citeshttps://doi.org/10.1137/s106482759427021xopenalex-snapshot
An Assessment of Nonmonotone Linesearch Techniques for Unconstrained Optimization
inferred← citeshttps://doi.org/10.1142/s0217595905000625openalex-snapshot
CONVERGENCE PROPERTY AND MODIFICATIONS OF A MEMORY GRADIENT METHOD
inferred← citeshttps://doi.org/10.1142/s0217595911003454openalex-snapshot
COMBINATION ADAPTIVE TRUST REGION METHOD BY NON-MONOTONE STRATEGY FOR UNCONSTRAINED NONLINEAR PROGRAMMING
inferred← citeshttps://doi.org/10.1145/3291042openalex-snapshot
A Unified 2D/3D Large-Scale Software Environment for Nonlinear Inverse Problems
inferred← citeshttps://doi.org/10.1155/2013/295147openalex-snapshot
Parallel Variable Distribution Algorithm for Constrained Optimization with Nonmonotone Technique
inferred← citeshttps://doi.org/10.1155/2021/7134561openalex-snapshot
An Adaptive Nonmonotone Line Search Technique for Solving Systems of Nonlinear Equations
inferred← citeshttps://doi.org/10.1186/s13660-017-1453-5openalex-snapshot
A modified nonmonotone BFGS algorithm for unconstrained optimization
inferred← citeshttps://doi.org/10.12677/aam.2022.118630openalex-snapshot
A New MBFGS Algorithm
inferred← citeshttps://doi.org/10.12677/aam.2023.125226openalex-snapshot
A Nonmonotone Adaptive Trust Region Method Based on Fractional Model
inferred← citeshttps://doi.org/10.12732/ijpam.v93i5.8openalex-snapshot
NEW GLOBAL CONVERGENCE OF NONMONOTONE LINE SEARCH ALGORITHM
inferred← citeshttps://doi.org/10.1287/moor.1050.0150openalex-snapshot
Convergence to Second-Order Stationary Points of a Primal-Dual Algorithm Model for Nonlinear Programming
inferred← citeshttps://doi.org/10.15807/jorsj.50.31openalex-snapshot
A NONMONOTONE MEMORY GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION
inferred← citeshttps://doi.org/10.17615/fzp7-9n18openalex-snapshot
Newton-type methods under generalized self-concordance and inexact oracles
inferred← citeshttps://doi.org/10.1785/0220200410openalex-snapshot
On-the-Fly Full Hessian Kernel Calculations Based upon Seismic-Wave Simulations
inferred← citeshttps://doi.org/10.17877/de290r-16296openalex-snapshot
Continuous optimization methods for convex mixed-integer nonlinear programming
inferred← citeshttps://doi.org/10.21203/rs.3.rs-2941766/v1openalex-snapshot
Nonmonotone conjugate gradient algorithm without gradient Lipschitz continuity for nonconvex minimizations
inferred← citeshttps://doi.org/10.2174/0122103279397411251014043614openalex-snapshot
Minimization of Power Consumption for NOMA-Assisted UAV Uplink Networks with Imperfect SIC Receiver
inferred← citeshttps://doi.org/10.22067/ijnao.v5i2.42512openalex-snapshot
An adaptive nonmonotone trust region method for unconstrained optimization problems based on a simple subproblem
inferred← citeshttps://doi.org/10.22067/ijnao.v6i1.45607openalex-snapshot
A nonmonotone trust-region-approach with nonmonotone adaptive radius for solving nonlinear systems
inferred← citeshttps://doi.org/10.32614/cran.package.emiropenalex-snapshot
EmiR: Evolutionary Minimizer for R
inferred← citeshttps://doi.org/10.3390/a17120563openalex-snapshot
Issues on a 2–Dimensional Quadratic Sub–Problem and Its Applications in Nonlinear Programming: Trust–Region Methods (TRMs) and Linesearch Based Methods (LBMs)
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