Loading... Please wait...

Nonnegative Matrices in the Mathematical Sciences

Hover over image to zoom

Order Code:

 Product Description

By Abraham Berman and Robert J. Plemmons


1994 / xx + 340 pages/Softcover / ISBN: 978-0-898713-21-3 / List Price $61.50 / SIAM Member Price $43.05 / Order Code CL09

Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993.

Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices. On the way, semigroups of nonnegative matrices and symmetric nonnegative matrices are discussed. Later, applications of nonnegativity and M-matrices are given; for numerical analysis the example is convergence theory of iterative methods, for probability and statistics the examples are finite Markov chains and queuing network models, for mathematical economics the example is input-output models, and for mathematical programming the example is the linear complementarity problem.

Nonnegativity constraints arise very naturally throughout the physical world. Engineers, applied mathematicians, and scientists who encounter nonnegativity or generalizations of nonegativity in their work will benefit from topics covered here, connecting them to relevant theory. Researchers in one area, such as queuing theory, may find useful the techniques involving nonnegative matrices used by researchers in another area, say, mathematical programming.

Exercises and biographical notes are included with each chapter.

Chapter 1: Matrices Which Leave a Cone Invariant; Chapter 2: Nonnegative Matrices; Chapter 3: Semigroups of Nonnegative Matrices; Chapter 4: Symmetric Nonnegative Matrices; Chapter 5: Generalized Inverse- Positivity; Chapter 6: M-Matrices; Chapter 7: Iterative Methods for Linear Systems; Chapter 8: Finite Markov Chains; Chapter 9: Input-Output Analysis in Economics; Chapter 10: The Linear Complementarity Problem; Chapter 11: Supplement 1979 - 1993; References; Index.

ISBN: 9780898713213

 Find Similar Products by Category

Vendors Other Products

 Product Reviews

This product hasn't received any reviews yet. Be the first to review this product!

You Recently Viewed...



Follow us on

Copyright 2019 SIAM Bookstore. All Rights Reserved.
Sitemap | BigCommerce Premium Themes by PSDCenter

Society for Industrial and Applied Mathematics 3600 Market St., 6th Fl. Philadelphia, PA 19104-2688 USA +1-215-382-9800 FAX: +1-215-386-7999 www.siam.org email: siambooks@siam.org

Click the button below to add the Nonnegative Matrices in the Mathematical Sciences to your wish list.