Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/62812

 Title: On a class of nonsingular matrices containing B-matrices Author(s): Araújo, C. MendesGonçalves, Suzana Mendes Keywords: B–matrix$B^R_{\pi}$-matrixP-matrixSubdirect sumB-pi(R)-matrixB –matrix π R Issue date: Oct-2019 Publisher: Elsevier Journal: Linear Algebra and Its Applications Abstract(s): A real matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means was called in [12] a B-matrix. The classes of doubly B-matrices and of $B^R_{\pi}$-matrices were introduced in [13] and [11] as generalizations of the previous class. We present characterizations and properties of $B^R_{\pi}$-–matrices and we consider the problem of when a subdirect sum of two matrices in this class lies in the same class. Type: Article URI: https://hdl.handle.net/1822/62812 DOI: 10.1016/j.laa.2019.05.015 ISSN: 0024-3795 Publisher version: https://www.sciencedirect.com/science/article/pii/S0024379519302241 Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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