报告题目：Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix

报告专家：李维国教授，中国石油大学(华东)

报告地点：腾讯会议(会议号328-171-9712;密码314159)

报告时间：2023年12月27日, 19：30 — 21：30

报告摘要：In this talk, some randomized block Kaczmarz algorithms to compute inner inverses of any rectangle matrix are presented, where A is full rank or rank deficient. Convergence results are provided to guarantee the convergence of the proposed methods theoretically. Numerical examples are given to illustrate the effectiveness. Since the proposed algorithms only require one row of A at each iteration without matrix-matrix product, it is suitable for the scenarios where the matrix A is too large to fit in memory or matrix multiplication is considerably expensive. In addition, if the MII-RABK method is implemented in parallel, the running time will be greatly reduced. Therefore, in some practical applications, the MII-RABK method is more feasible when the Moore-Penrose generalized inverse is unknown or the calculation is too expensive.

报告人简介：李维国，博士，教授，博士生导师。中国石油大学(华东)校学术委员会委员。1997年博士毕业于南京大学数学系，2000年被评为中国石油大学(华东)教授，至今在中国石油大学(华东)理学院工作。发表科研论文100余篇，主持、参与国家自然科学基金6项，教育部和山东省基金3项。主要从事图像处理及分析中的数值计算问题及其应用、广义逆计算、微分方程周期解的数值计算、线性和非线性方程组的数值解等方面的研究工作。讲授本科生、研究生课程10余门，出版教材3部。

作者：吴念慈；编辑；刘鹍；审核：郭晖；发布：郭敏。