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Dellacherie, Claude; Martinez, Servet; San Martin, Jaime - Inverse M-Matrices and Ultrametric Matrices - 9783319102979 - V9783319102979
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Inverse M-Matrices and Ultrametric Matrices

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Description for Inverse M-Matrices and Ultrametric Matrices Paperback. Series: Lecture Notes in Mathematics. Num Pages: 246 pages, 14 black & white illustrations, biography. BIC Classification: PBT; PBUD; PBWL. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 385.

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 ... Read more

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Product Details

Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
246
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
236
Place of Publication
Cham, Switzerland
ISBN
9783319102979
SKU
V9783319102979
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

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