1 citations · 1 across the 8 of their papers we have counts for
8 papers
The regularization continuation method for optimization problems with nonlinear equality constraints
Xin-long Luo, Hang Xiao, Sen Zhang
This paper considers the regularization continuation method and the trust-region updating strategy for the nonlinearly equality-constrained optimization problem. Namely, it uses th…
Residual regularization path-following methods for linear complementarity problems
Xin-long Luo, Sen Zhang, Hang Xiao
In this article, we consider the residual regularization path-following method with the trust-region updating strategy for the linear complementarity problem. This time-stepping se…
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…
Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization
Xin-long Luo, Hang Xiao, Jia-hui Lv +1
This paper considers an explicit continuation method and the trust-region updating strategy for the unconstrained optimization problem. Moreover, in order to improve its computatio…
Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations
Xin-long Luo, Hang Xiao, Jia-hui Lv
For nonlinear equations, the homotopy methods (continuation methods) are popular in engineering fields since their convergence regions are large and they are quite reliable to find…