报告题目 (Title)：NUMERICAL METHODS FOR COMPUTING TWO KINDS OF THE BEST HANKEL TENSOR APPROXIMATIONS （计算两种最佳Hankel张量近似的数值方法）
报告人 (Speaker)：段雪峰 教授（桂林电子科技大学）
报告时间 (Time)：2024年4月8日(周一) 19:30-21:30
报告地点 (Place)：校本部F309
邀请人(Inviter)：王卿文 教授
主办部门：永利数学系
报告摘要：Hankel tensors and their approximation problems are of particular interest in the multidimensional seismic trace interpolator problem. In this talk, we investigate the numerical methods for two kinds of the best Hankel tensor approximation problems. Based on the Vandermonde decomposition of Hankel tensors, the Hankel tensor approximation problem with missing data is transformed into an unconstrained optimization problem, and then the BFGS method is used to solve it. For the Hankel tensor approximation problems with the interval constraint and box constraint, Dykstra’s algorithm and its acceleration versions are designed to solve them. Numerical examples illustrate that these methods are feasible and effective.
