The Inverses of Block Toeplitz Matrices
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the inverses of block Toeplitz matrices based on the analysis of the block cyclic displacement.
New formulas for the inverses of block Toeplitz matrices 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.
American Psychological Association (APA)
Lv, Xiao-Guang& Huang, Ting-Zhu. 2013. The Inverses of Block Toeplitz Matrices. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-454526
Modern Language Association (MLA)
Lv, Xiao-Guang& Huang, Ting-Zhu. The Inverses of Block Toeplitz Matrices. Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-454526
American Medical Association (AMA)
Lv, Xiao-Guang& Huang, Ting-Zhu. The Inverses of Block Toeplitz Matrices. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-454526
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454526
