A Newton-Like Trust Region Method for Large-Scale Unconstrained Nonconvex Minimization

作者:Yang Weiwei; Yang Yueting*; Zhang Chenhui; Cao Mingyuan
来源:Abstract and Applied Analysis, 2013, 2013: 478407.
DOI:10.1155/2013/478407

摘要

We present a new Newton-like method for large-scale unconstrained nonconvex minimization. And a new straightforward limited memory quasi-Newton updating based on the modified quasi-Newton equation is deduced to construct the trust region subproblem, in which the information of both the function value and gradient is used to construct approximate Hessian. The global convergence of the algorithm is proved. Numerical results indicate that the proposed method is competitive and efficient on some classical large-scale nonconvex test problems.

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