Kantorovich Type Theorem of Extended Newton Method for Vector Optimization
This paper considered the semi local convergence property of the extended Newton method for unconstrained vector optimization problems,and established the Kantorovich type convergence theorem of the extended Newton method.More precisely,when the objective function was strongly K-convex near the initial point,its second derivative satisfied the Lipschitz condition,and some parameters related to the initial point satisfy certain conditions.It was obtained that the sequence generated by the algorithm quadratically converged to a K-minimizer of the vector optimization problem.At the same time,the error estimate was provided.
vector optimizationNewton methodsemi local convergencemajorizing functionLipschitz condition
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维普
