An efficient three-term conjugate gradient-type algorithm for monotone nonlinear equations
Jamilu Sabi’u, Abdullah Shah
Abstract
In this article, we proposed two Conjugate Gradient (CG) parameters using the modified Dai–Liao condition and the descent three-term CG search direction. Both parameters are incorporated with the projection technique for solving large-scale monotone nonlinear equations. Using the Lipschitz and monotone assumptions, the global convergence of methods has been proved. Finally, numerical results are provided to illustrate the robustness of the proposed methods.
Topics & Concepts
Conjugate gradient methodMonotone polygonLipschitz continuityNonlinear conjugate gradient methodMathematicsRobustness (evolution)Nonlinear systemTerm (time)Convergence (economics)Applied mathematicsGradient descentAlgorithmMathematical analysisComputer scienceGeometryEconomicsEconomic growthQuantum mechanicsBiochemistryChemistryArtificial neural networkMachine learningPhysicsGeneAdvanced Optimization Algorithms ResearchIterative Methods for Nonlinear EquationsSparse and Compressive Sensing Techniques