Inverse M Matrices and Ultrametric Matrices is popular PDF and ePub book, written by Claude Dellacherie in 2014-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Inverse M Matrices and Ultrametric Matrices can be Read Online from any device for your convenience.
Inverse M Matrices and Ultrametric Matrices Book PDF Summary
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 matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph.
Detail Book of Inverse M Matrices and Ultrametric Matrices PDF
- Author : Claude Dellacherie
- Release : 14 November 2014
- Publisher : Springer
- ISBN : 9783319102986
- Genre : Mathematics
- Total Page : 241 pages
- Language : English
- PDF File Size : 17,7 Mb
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