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Rank structure of generalized inverses of rectangular banded matrices

Bevilacqua, Roberto and Bozzo, Enrico and Del Corso, Gianna M. and Fasino, Dario (2005) Rank structure of generalized inverses of rectangular banded matrices. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.

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    Abstract

    We describe rank structures in generalized inverses of possibly rectangular banded matrices. In particular, we show that various kind of generalized inverses of rectangular banded matrices have submatrices whose rank depends on the bandwidth and on the nullity of the matrix. Moreover, we give an explicit representation formula for some generalized inverses of strictly banded matrices.

    Item Type: Book
    Uncontrolled Keywords: Banded matrices, Generalized inverses, Rectangular matrices
    Subjects: Area01 - Scienze matematiche e informatiche > INF/01 - Informatica
    Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI INFORMATICA
    Depositing User: dott.ssa Sandra Faita
    Date Deposited: 09 Dec 2014 11:22
    Last Modified: 09 Dec 2014 11:22
    URI: http://eprints.adm.unipi.it/id/eprint/2139

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