On the spectral properties of M-matrices and its applications

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Original languageEnglish
Pages (from-to)418-424
Journal / PublicationActa Mathematicae Applicatae Sinica
Issue number4
Publication statusPublished - Oct 1999


Let A be an M-matrix and B be a Z-matrix. In this paper we reveal the spectral relationship of A and B under some interesting conditions. Applying this result, we solve an open problem on splittings of an M-matrix and partially answer an open problem on the level diagrams for A and B.

Research Area(s)

  • Level diagram, M-matrix, Reduced graph, Singular graph, Splitting, Z-matrix