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A new hybrid conjugate gradient algorithm based on the Newton direction to solve unconstrained optimization problems

Naima Hamel, Noureddine Benrabia, Mourad Ghiat, Hamza Guebbaï

2023Journal of Applied Mathematics and Computing12 citationsDOI

Topics & Concepts

Conjugate gradient methodLine searchHessian matrixMathematicsNonlinear conjugate gradient methodDescent directionGradient descentNewton's method in optimizationConvergence (economics)AlgorithmGradient methodDescent (aeronautics)Directional derivativeTheory of computationMathematical optimizationFrank–Wolfe algorithmConjugate residual methodQuasi-Newton methodNewton's methodConvex optimizationRegular polygonApplied mathematicsLocal convergenceIterative methodComputer scienceConvex setMathematical analysisNonlinear systemGeometryArtificial intelligenceArtificial neural networkQuantum mechanicsPhysicsEconomicsComputer securityRADIUSEngineeringAerospace engineeringEconomic growthAdvanced Optimization Algorithms ResearchOptimization and Variational AnalysisIterative Methods for Nonlinear Equations
A new hybrid conjugate gradient algorithm based on the Newton direction to solve unconstrained optimization problems | Litcius