Some Properties of the Exchange Operator with respect to Structured Matrices defined by Indefinite Scalar Product Spaces

Some Properties of the Exchange Operator with respect to Structured Matrices defined by Indefinite Scalar Product Spaces

The properties of the exchange operator on some types of matrices are explored in this paper. In particular, the properties of exc(A,p,q), where A is a given structured matrix of size (p+q)Ã(p+q) and exc : M ÃNÃN â M is the exchange operator are studied. This paper is a generalization of one of the...

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Bibliographic Details
Main Authors: Cheng, Hanz Martin C, David, Roden Jason
Format: text
Published: Archīum Ateneo 2015
Subjects:
Scalar Product Spaces
Structured Matrices
Exchange Operator
Algebraic Geometry
Discrete Mathematics and Combinatorics
Mathematics
Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/7
https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1006&context=mathematics-faculty-pubs
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Institution: Ateneo De Manila University
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Summary:The properties of the exchange operator on some types of matrices are explored in this paper. In particular, the properties of exc(A,p,q), where A is a given structured matrix of size (p+q)Ã(p+q) and exc : M ÃNÃN â M is the exchange operator are studied. This paper is a generalization of one of the results in [N.J. Higham. J-orthogonal matrices: Properties and generation. SIAM Review, 45:504â519, 2003.].

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