报告题目：Projection Methods with Applications

报告人：徐洪坤教授，杭州电子科技大学

报告时间：2024年1月14日（周日）10:00-11:30

报告地点：20-306

报告摘要：John von Neumann (1903-1957) introduced in 1933 the projection method by proving the strong convergence of the alternating projection procedure to a common point in the intersection of two closed subspaces of a Hilbert space. In 1937, Stefan Kaczmarz (1895-1939) introduced a projection method, now known as Kaczmarz algorithm, for solving a linear system. This method remained, however, unnoticed for over 30 years until the 70th of the 20th century, when it turned out that the method could have a lot of applications in various areas of mathematics as well as many practical applications in physics, medicine, the computerized tomography, and many other imaging technologies. In 1951, Landweber introduced a projection method for solving linear integral equations of the first kind. Landweber's method is now one of the most popular methods for linear and nonlinear inverse problems.

In this talk we discuss the convergence analysis of projection methods, including some historical results and current advances. We will also mention some applications of projection methods for feasibility and optimization problems.

报告人简介：徐洪坤，杭州电子科技大学特聘教授；西安交通大学博士，加拿大Dalhousie大学博士后；曾任华东理工大学副教授，西班牙塞维利亚大学访问教授，南非夸祖鲁-纳塔尔大学资深教授，沙特国王大学教授；曾获南非数学会杰出研究奖，教育部自然科学二等奖，陕西高等学校科学技术奖一等奖。研究兴趣包括非线性分析与优化，非线性算子方程迭代方法，微分方程等，发表论文250余篇。任30余种国际数学期刊编委/副主编/主编，入选汤森-路透/科睿唯安全球高被引学者，爱思唯尔中国高被引学者，斯坦福全球前2%顶尖科学家年度和生涯影响力双榜单。