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    On fully indecomposable matrices

    Fenner, Trevor and Loizou, G. (1971) On fully indecomposable matrices. Journal of Computer and System Sciences 5 (6), pp. 607-622. ISSN 0022-0000.

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    In this paper various properties of fully indecomposable matrices are investigated. Several integer-valued functions of nonnegative matrices are defined and various relations between them are obtained and, where appropriate, related to corresponding concepts in graph theory. These relations are used to obtain upper bounds on the index of primitivity of a fully indecomposable matrix. Matrix and Kronecker products of fully indecomposable matrices are considered, and lastly the connection between fully indecomposable matrices and essentially nonsingular matrices is examined.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 23 Mar 2021 20:11
    Last Modified: 09 Aug 2023 12:50


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