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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes in Mathematics)

Claude Dellacherie, Servet Martinez, Jaime San Martin




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 | #7616301 in Books |  2014-11-15 |  2014-11-27 | Original language:English | PDF # 1 |  9.25 x.56 x6.10l,.78 | File type: PDF | 236 pages

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The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric...

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