郭科老师受邀进行讲座

发布时间: 2019-08-08 10:46:49

       题    目：Convergence study on the logarithmic-quadratic proximal regularization of strictly contractive Peaceman-Rachford splitting method with larger step-size

       报告人：郭科       西华师范大学

       时    间：2019-07-08 10:00--11：00

       地    点：学院305

       报告人简介:

       郭科，西华师范大学任教，2017年博士毕业于南京师范大学，师从国家杰出青年基金获得者韩德仁教授。主要从事单调算子理论、非凸优化等方向的研究。在SIAM Journal on Numerical Analysis、Journal of Global Optimization等计算和优化的主流杂志上发表学术论文10余篇。目前主持国家自然科学基金青年基金项目1项，西华师范大学国家一般培育项目1项，西华师范大学博士科研启动项目1项。2016年8月获第二届中国运筹学会数学规划分会研究生论坛优秀成果奖。2017年7月获中国数学会计算数学分会第八届优秀青年论文一等奖。

        摘    要：

       Recently, a strictly contractive Peaceman-Rachford splitting method with logarithmic-quadratic proximal regularization (SPRSM-LQP) was proposed for solving two-block separable convex minimization model. In practical applications, however, the smaller step-size should be strongly avoided. So we actually have the desire of seeking larger step-size whenever possible in order to accelerate the numerical performance. In this paper, we combine Fortin and Glowinski's accelerating techniques with the SPRSM-LQP. Thus a new algorithm with larger step-size is proposed. Under the same assumptions as the SPRSM-LQP, we establish the global convergence of its larger step-size counterpart.