A New Method for Symmetric Tridiagonal Procrustes Problem

摘要：

The following Procrustes problem is studied: fred the real symmetric tridiagonal matrix X which minimizes the Frobcnius norm of AX-B, with A column full rank and B as given rectangular matrices. The class of Procrustes problems has many application in the biological, physical and social sciences just as in the investigation of elastic structures. In this contribution, the problem has analyzed by using the singular value decomposition and analytic methods, moreover, combining with some topics in matrix analysis, we prove that the solution is unique. Numerical difficulties is discussed and illustrated by example.

关键词： Symmetric tridiagonal matriz Procrustes problem

作者: Jinrong Shen Jiaofen Li Wei Liu Xidao Luan

作者单位: Department of Information and Computing Science, Changsha University, Changsha 410003 College of Mathematics and Econometrics, Hunan University, Changsha 410082

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 631-634

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）