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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Squared Smoothing Newton Method for Semidefinite Programming
半定规划 平方平滑 牛顿方法
2023/4/14
This paper proposes a squared smoothing Newton method via the Huber smoothing function for solving semidefinite programming problems (SDPs). We first study the fundamental properties of the matrix-val...
Semidefinite programming relaxations of non-convex problems in control and combinatorial optimization
Applications of semidefinite programming combinatorial optimization quadratic semi-definite programming bilinear matrix inequality
2015/8/11
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
A Stochastic Smoothing Algorithm for Semidefinite Programming
Semidefinite programming Gaussian smoothing eigenvalue problems
2012/4/18
We use a rank one Gaussian perturbation to derive a smooth stochastic approximation of the maximum eigenvalue function. We then combine this smoothing result with an optimal smooth stochastic optimiza...
Optimal and Robust Transmit Designs for MISO Channel Secrecy by Semidefinite Programming
Optimal Robust Transmit Designs for MISO Channel Secrecy Semidefinite Programming
2011/2/22
In recent years there has been growing interest in study of multi-antenna transmit designs for
providing secure communication over the physical layer. This paper considers the scenario of an intended...