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Continuation Newton methods with deflation techniques for global optimization problems
Xin-long Luo, Hang Xiao, Sen Zhang
The global minimum point of an optimization problem is of interest in engineering fields and it is difficult to be found, especially for a nonconvex large-scale optimization proble…
The regularization continuation method with an adaptive time step control for linearly constrained optimization problems
Xin-long Luo, Hang Xiao
This paper considers the regularization continuation method and the trust-region updating strategy for the optimization problem with linear equality constraints.The proposed method…
Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system
Xin-long Luo, Hang Xiao
This paper considers the generalized continuation Newton method and thetrust-region updating strategy for the underdetermined system of nonlinear equations. Moreover, in order to i…
Explicit continuation methods with L-BFGS updating formulas for linearly constrained optimization problems
Xin-long Luo, Jia-hui Lv, Hang Xiao
This paper considers an explicit continuation method with the trusty time-stepping scheme and the limited-memory BFGS (L-BFGS) updating formula (Eptctr) for the linearly constraine…