Titlebook: Inverse M-Matrices and Ultrametric Matrices; Claude Dellacherie,Servet Martinez,Jaime San Marti Book 2014 Springer International Publishin

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Book 2014s. 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-

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Ultrametric Matrices,3.5 and give a proof in the lines done by Nabben and Varga in [51]. One of the important aspects of ultrametric matrices is that they represent a class of inverse .-matrices described in very simple combinatorial terms.

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0075-8434 applications of M-matrices.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 nonnegat

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0075-8442 ocratic Republic (1985). All proceedings of these meetings have been published by Springer Verlag in the series Lecture Notes in Economics and Mathematical Syst978-3-540-51572-2978-3-662-22160-0Series ISSN 0075-8442 Series E-ISSN 2196-9957

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Studies in Soviet Sciencehttp://image.papertrans.cn/t/image/881679.jpg

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ignal processing, speech analysis and recognition, information retrieval, data compression, computational biology and chemistry. In the last few decades a myriad of alternative solutions have been proposed, based on very different techniques. However, automata have always played a very important rol