Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices

被引：0
|
作者：
Yang, Juan [1 ]
Deng, Yuan-bei [1 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
D O I：
10.1155/2013/696019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Toeplitz Procrustes problems are the least squares problems for the matrix equation AX = B over some Toeplitz matrix sets. In this paper the necessary and sufficient conditions are obtained about the existence and uniqueness for the solutions of the Toeplitz Procrustes problems when the unknown matrices are constrained to the general, the triangular, and the symmetric Toeplitz matrices, respectively. The algorithms are designed and the numerical examples show that these algorithms are feasible.
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页数：5
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