A nonmonotone line search technique for Newton's method
SIAM Journal on Numerical Analysis
A truncated Newton method with nonmonotone line search for unconstrained optimization
Journal of Optimization Theory and Applications
Nonmonotonic trust region algorithm
Journal of Optimization Theory and Applications
An assessment of nonmonotone linesearch techniques for unconstrained optimization
SIAM Journal on Scientific Computing
Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints
Mathematical Programming: Series A and B
Automatic Determination of an Initial Trust Region in Nonlinear Programming
SIAM Journal on Scientific Computing
Testing Unconstrained Optimization Software
ACM Transactions on Mathematical Software (TOMS)
Trust-region methods
A new trust region method for unconstrained optimization
Journal of Computational and Applied Mathematics
An efficient nonmonotone trust-region method for unconstrained optimization
Numerical Algorithms
Hi-index | 0.09 |
In this paper, we incorporate a nonmonotone technique with the new proposed adaptive trust region radius (Shi and Guo, 2008) [4] in order to propose a new nonmonotone trust region method with an adaptive radius for unconstrained optimization. Both the nonmonotone techniques and adaptive trust region radius strategies can improve the trust region methods in the sense of global convergence. The global convergence to first and second order critical points together with local superlinear and quadratic convergence of the new method under some suitable conditions. Numerical results show that the new method is very efficient and robustness for unconstrained optimization problems.