• 论文 •

求解正交非均衡Procrustes问题的MM方法

1. 中国海洋大学数学科学学院, 青岛 266100
• 收稿日期:2019-08-28 出版日期:2020-12-15 发布日期:2020-12-15
• 基金资助:

国家自然科学基金（11871444）部分资助.

Qian Zhenyu, Liu Xinguo. AN MM METHOD FOR SOLVING ORTHOGONAL UNBALANCED PROCRUSTES PROBLEM[J]. Journal of Numerical Methods and Computer Applications, 2020, 41(4): 297-305.

AN MM METHOD FOR SOLVING ORTHOGONAL UNBALANCED PROCRUSTES PROBLEM

Qian Zhenyu, Liu Xinguo

1. School of Mathematical Science, Ocean University of China, QingDao 266100, China
• Received:2019-08-28 Online:2020-12-15 Published:2020-12-15

The MM method for solving the orthogonal unbalanced Procrustes problem is given and the convergence is analyzed. Generally the MM method converges slowly and the computed results relies on the initial point.some special initial point selection strategies are designed. Furthermore the quasi-Newton acceleration and Nesterov acceleration techniques are used. Numerical results demonstrate that the proposed algorithm has advantages over the existing methods under certain circumstances.

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