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math.NA2021
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…
math.NA2021
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…
math.NA2020
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…