Comments on the convex constrained spacecraft reorientation

Y Mashtakov, S Shestakov - IEEE Transactions on Aerospace …, 2023 - ieeexplore.ieee.org
In this article, we investigate a class of Lyapunov-based attitude control algorithms
dedicated to keep-out zone avoidance. They utilize convex representations of the allowed …

Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems

D Kong, L Liu, J Li, Y Wu - Optimization, 2022 - Taylor & Francis
In this paper, as an extension of the isotone projection cone, we consider the isotonicity of
the metric projection operator with respect to the mutually dual orders induced by the cone …

Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere

VB Nguyen, TN Nguyen, RL Sheu - Journal of Global Optimization, 2020 - Springer
In this paper, we study the strong duality for an optimization problem to minimize a
homogeneous quadratic function subject to two homogeneous quadratic constraints over …

Complementarity and related problems

L Xiao - arXiv preprint arXiv:2108.07412, 2021 - arxiv.org
In this thesis, we present results related to complementarity problems. We study the linear
complementarity problems on extended second order cones. We convert a linear …

Isotonicity of the proximity operator and stochastic optimization problems in Hilbert quasi-lattices endowed with Lorentz cones

D Kong, L Sun, H Chen, Y Wang - Optimization Methods and …, 2022 - Taylor & Francis
In this paper, we discuss the isotonicity of the proximity operator in Hilbert quasi-lattices
endowed with different Lorentz cones. The extended Lorentz cone is first defined by the …

Isotonicity of proximity operators in general quasi-lattices and optimization problems

D Kong, L Liu, Y Wu - Journal of Optimization Theory and Applications, 2020 - Springer
Motivated by the recent works on proximity operators and isotone projection cones, in this
paper, we discuss the isotonicity of the proximity operator in quasi-lattices, endowed with …

On the spherical quasi-convexity of quadratic functions on spherically subdual convex sets

OP Ferreira, SZ Németh, L Xiao - Journal of Optimization Theory and …, 2020 - Springer
In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual
convex sets is studied. Sufficient conditions for spherical quasi-convexity on spherically …