1 citations · 1 across the 4 of their papers we have counts for
9 papers
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…
Primal-dual path-following methods and the trust-region updating strategy for linear programming with noisy data
Xin-long Luo, Yi-yan Yao
In this article, we consider the primal-dual path-following method and the trust-region updating strategy for the standard linear programming problem. For the rank-deficient proble…
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…
Continuation Method with the Trusty Time-stepping Scheme for Linearly Constrained Optimization with Noisy Data
Xin-long Luo, Jia-hui Lv, Geng Sun
The nonlinear optimization problem with linear constraints has many applications in engineering fields such as the visual-inertial navigation and localization of an unmanned aerial…