Title: Commutation Relations for Toeplitz and Hankel Matrices
Abstract:Let A,B,C, and D be Toeplitz matrices. The main theorem of this paper determines if AB-CD is Toeplitz. This theorem is used to prove a variety of new and previously known algebraic results about Hanke...Let A,B,C, and D be Toeplitz matrices. The main theorem of this paper determines if AB-CD is Toeplitz. This theorem is used to prove a variety of new and previously known algebraic results about Hankel and Toeplitz matrices. For instance, the set of all Hankel matrices which commute with a given Hankel matrix is parametrized. This and similar classification results are straightforward to prove using our approach since it naturally produces the set of matrices to solve each problem.Read More
Publication Year: 2003
Publication Date: 2003-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 27
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