The Inverses of Block Toeplitz Matrices

被引：9
作者：
Lv, Xiao-Guang [1 ]
Huang, Ting-Zhu [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2013年 / 2013卷
关键词：
D O I：
10.1155/2013/207176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the inverses of block Toeplitz matrices based on the analysis of the block cyclic displacement. New formulas for the inverses of block Toeplitzmatrices are proposed. We show that the inverses of block Toeplitz matrices can be decomposed as a sum of products of block circulant matrices. In the scalar case, the inverse formulas are proved to be numerically forward stable, if the Toeplitz matrix is nonsingular and well conditioned.
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页数：8
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