摘要
针对Sylvester问题,基于对数指数光滑方法,提出了一种求解Sylvester问题的梯度镜面下降算法,并给出了该算法的收敛速度分析。数值结果表明,梯度镜面下降算法求解Sylvester问题是有效的。
Aiming at the Sylvester problem,based on the log-exponential smoothing method,the gradient and mirror descent algorithm for solving the Sylvester problem is proposed,and the convergence speed analysis of the gradient and mirror descent algorithm is shown.As we can see in the numerical experiments,the gradient and mirror descent algorithm is effective for solving the Sylvester problem.
作者
董榕恩
杨娅
胡清洁
DONG Rongen;YANG Ya;HU Qingjie(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China)
出处
《桂林电子科技大学学报》
2018年第6期500-504,共5页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11461015)
广西自然科学基金(2015GXNSFAA139010)
