Abstract
AbstractIn this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by cyclically fixing the fractional coefficient part of the approximate function. The global convergence of the fractional trust region method is proved, and the numerical results show that the new algorithm is effective and stable.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Innovative Research Group Project of the National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference31 articles.
1. Han, S.P.: A globally convergent method for nonlinear programming. J. Optim. Theory Appl. 22(3), 297–309 (1977)
2. Powell, M.J.D.: Variable Metric Methods for Constrained Optimization. Springer, Berlin Heidelberg (1983)
3. Yuan, Y.X., Sun, W.Y.: Conic Methods for Unconstrained Minimization and Tensor Methods for Nonlinear Equations. Science Press, Beijing (1997)
4. Powell, M.J.D., Yuan, Y.: A trust region algorithm for equality constrained optimization. Math. Program. 49(1), 189–211 (1990)
5. Vardi, A.: A trust region algorithm for equality constrained minimization: convergence properties and implementation. SIAM J. Numer. Anal. 22(3), 575–591 (1981)
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