1 code implementation • 29 Jul 2021 • 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 problem.
no code implementations • 18 Jan 2021 • 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 constrained optimization problem.
Optimization and Control Numerical Analysis Dynamical Systems Numerical Analysis
no code implementations • 13 Jun 2020 • Xin-long Luo, Yi-yan Yao
Numerical results show that the new method is more robust than the other two methods for the rank-deficient problem with the small noise data.
no code implementations • 4 Jun 2020 • 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 a solution.
Numerical Analysis Numerical Analysis Dynamical Systems Optimization and Control
no code implementations • 29 Apr 2020 • Yi-yan 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.
no code implementations • 12 Feb 2020 • 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.
no code implementations • 11 Feb 2020 • 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 problems, such as the symplecticity and the orthogonality.