报告人 ：李朝迁（云南大学）

时间：2023年05月15日 14:30--

地址：理科楼LA106

摘要：A randomized quaternion singular value decomposition algorithm based on Block Krylov Iteration (RQSVD-BKI) is presented to solve the low-rank quaternion matrix approximation problem. The upper bounds of deterministic approximation error and expected approximation error for the RQSVD-BKI algorithm are also given. It is shown by numerical experiments that the running time of the RQSVD-BKI algorithm is smaller than that of the quaternion singular value decomposition, and the relative errors of the RQSVD-BKI algorithm are smaller than those of the randomized quaternion singular value decomposition algorithm in some cases. In order to further illustrate the feasibility and effectiveness of the RQSVD-BKI algorithm, we use it to deal with the problem of color image inpainting.

简介：李朝迁，博士，云南大学太阳成集团tyc539教授，博士研究生导师。主要研究结构矩阵(张量)、张量特征值理论、张量分解及其在图像处理中的应用等问题。截至目前，发表SCI检索论文70余篇, 主持国家自然科学基金3项；2016年获中国科学院“西部之光”人才培养引进计划的资助、2018年入选云南省万人计划青年拔尖人才计划项目；2021年获云南省自然科学奖二等奖1项(排名第一)。

邀请人：李寒宇

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