A note on structured pseudospectra of block matrices

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Ferro, R. and Virtanen, J. A. (2017) A note on structured pseudospectra of block matrices. Journal of Computational and Applied Mathematics, 322. pp. 18-24. ISSN 0377-0427 doi: 10.1016/j.cam.2017.03.020

Abstract/Summary

In this note we consider the question of equivalence of pseudospectra and structured pseudospectra of block matrices. The structures we study are all so called double structures; that is, the blocks of the given matrix are of the same structure as the block matrix. The approach is based on that of non-block matrices, which are also briefly studied, and the use of distance to singularity. We also list some open problems and conjectures.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/69637
Identification Number/DOI 10.1016/j.cam.2017.03.020
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Elsevier
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