Inverse M-Matrices and Ultrametric Matrices

Name: Inverse M-Matrices and Ultrametric Matrices
SKU: 22622575
Price: 122.99 AUD
Availability: InStock

By:

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

Show Hide Adult Content

$122.99

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Wrap this item as a gift ($5.90) - add a free gift card on the next page

Buy Now, Pay Later with:

4 payments of $30.75 with Afterpay Learn more

Availability

Delivering to:

Estimated arrival:

Around 11-21 June using International Courier

Description

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.

Release date Australia

December 4th, 2014

Author

Audience

Professional & Vocational

Illustrations

14 Illustrations, black and white; X, 236 p. 14 illus.

Pages

236

Series

Lecture Notes in Mathematics

Dimensions

155x235x13

ISBN-13

9783319102979

Product ID

22622575

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here