1 citations · 2 across the 13 of their papers we have counts for
13 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…
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…
Improving Vertical Positioning Accuracy with the Weighted Multinomial Logistic Regression Classifier
Yiyan Yao, Xin-long Luo
In this paper, a method of improving vertical positioning accuracy with the Global Positioning System (GPS) information and barometric pressure values is proposed. Firstly, we clea…
A Visual-inertial Navigation Method for High-Speed Unmanned Aerial Vehicles
Xin-long Luo, Jia-hui Lv, Geng Sun
This paper investigates the localization problem of high-speed high-altitude unmanned aerial vehicle (UAV) with a monocular camera and inertial navigation system. It proposes a nav…
Symplectic Geometric Methods for Matrix Differential Equations Arising from Inertial Navigation Problems
Xin-Long Luo, Geng Sun
This article explores some geometric and algebraic properties of the dynamical system which is represented by matrix differential equations arising from inertial navigation problem…