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Special Matrices

Editor-in-Chief: da Fonseca, Carlos Martins

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CiteScore 2018: 0.64

SCImago Journal Rank (SJR) 2018: 0.408
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Some matrix properties preserved by generalized matrix functions

Michele Benzi / Ru Huang
Published Online: 2019-01-08 | DOI: https://doi.org/10.1515/spma-2019-0003


Generalized matrix functions were first introduced in [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra, 1(2), 1973, pp. 163-171]. Recently, it has been recognized that these matrix functions arise in a number of applications, and various numerical methods have been proposed for their computation. The exploitation of structural properties, when present, can lead to more efficient and accurate algorithms. The main goal of this paper is to identify structural properties of matrices which are preserved by generalized matrix functions. In cases where a given property is not preserved in general, we provide conditions on the underlying scalar function under which the property of interest will be preserved by the corresponding generalized matrix function.

Keywords: structured matrices; generalized matrix functions; structure preservation

MSC 2010: 15A16


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About the article

Received: 2018-08-16

Accepted: 2018-11-17

Published Online: 2019-01-08

Published in Print: 2019-12-01

Citation Information: Special Matrices, Volume 7, Issue 1, Pages 27–37, ISSN (Online) 2300-7451, DOI: https://doi.org/10.1515/spma-2019-0003.

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© by Michele Benzi, Ru Huang, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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