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  • Symmetric nonnegative matrix trifactorization
    Kokol-Bukovšek, Damjana ; Šmigoc, Helena
    The Symmetric Nonnegative Matrix Trifactorization (SN-Trifactorization) is a factorization of an nonnegative symmetric matrix A of the form , where C is a symmetric matrix, and both B and C are ... required to be nonnegative. This work introduces the SNT-rank of A, as the minimal k, for which such factorization exists. After a list of basic properties and an exploration of SNT-rank of low rank matrices, the class of nonnegative symmetric matrices with SNT-rank equal to rank is studied. The paper concludes with a completion problem, that asks for matrices with the smallest possible SNT-rank among all nonnegative symmetric matrices with given diagonal blocks.
    Vir: Linear algebra and its applications. - ISSN 0024-3795 (Vol. 665, 2023, str. 36-60)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 140740867