Maps preserving matrices of extremal scrambling index

A. E. Guterman; A. M. Maksaev

doi:10.1515/spma-2018-0014

Maps preserving matrices of extremal scrambling index

A. E. Guterman, A. M. Maksaev

Research output: Contribution to journal › Article › peer-review

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Abstract

In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index.

Original language	English
Pages (from-to)	166-179
Number of pages	14
Journal	Special Matrices
Volume	6
Issue number	1
DOIs	https://doi.org/10.1515/spma-2018-0014
State	Published - 1 Jan 2018
Externally published	Yes

Bibliographical note

Funding Information:
Acknowledgement: The work is financially supported by the Russian Science Foundation grant, the project N. 17-11-01124. The authors are grateful to the referees for valuable comments.

Publisher Copyright:
© 2018 Dimitrios Christou et al.

Keywords

directed graphs
nonnegative matrices
scrambling index

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10.1515/spma-2018-0014

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keywords = "directed graphs, nonnegative matrices, scrambling index",

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Maps preserving matrices of extremal scrambling index

Abstract

Bibliographical note

Keywords

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