Max-linear Systems: Theory and Algorithms (Springer Monographs in Mathematics) - Image 1

£75.50

Springer Max-linear Systems: Theory and Algorithms (Springer Monographs in Mathematics)

Name: Max-linear Systems: Theory and Algorithms (Springer Monographs in Mathematics)
Brand: Springer
Price: 75.5 GBP
Availability: InStock

Algebra

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Description

This book provides a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general matrices. Among the main features of the proposed book is the presentation of the fundamental max-algebraic theory, in one place in a comprehensive and unified form, made with all proofs and in full generality (that is for both irreducible and reducible matrices). Advanced material within the book also provides the reader with a wealth of information that has never been published before. From the Back Cover Recent years have seen a significant rise of interest in max-linear theory and techniques. In addition to providing the linear-algebraic background in the field of tropical mathematics, max-algebra provides mathematical theory and techniques for solving various nonlinear problems arising in areas such as manufacturing, transportation, allocation of resources and information processing technology. It is, therefore, a significant topic spanning both pure and applied mathematical fields. A welcome introduction to the subject of max-plus (tropical) linear algebra, and in particular algorithmic problems, Max-linear Systems: Theory and Algorithms offers a consolidation of both new and existing literature, thus filling a much-needed gap. Providing the fundamentals of max-algebraic theory in a comprehensive and unified form, in addition to more advanced material with an emphasis on feasibility and reachability, this book presents a number of new research results. Topics covered range from max-linear systems and the eigenvalue-eigenvector problem to periodic behavior of matrices, max-linear programs, linear independence, and matrix scaling. This book assumes no prior knowledge of max-algebra and much of the theoryis illustrated with numerical examples, complemented by exercises, and accompanied by both practical and theoretical applications. Open problems are also demonstrated. A fresh and pioneering approach to the topic of Max-linear Systems, this book will hold a wide-ranging readership, and will be useful for: • anyone with basic mathematical knowledge wishing to learn essential max-algebraic ideas and techniques • undergraduate and postgraduate students of mathematics or a related degree • mathematics researchers • mathematicians working in industry, commerce or management

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1447125835
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Publication Date: 13 October 2012
Listed Since: 13 September 2012

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Springer Max-linear Systems: Theory and Algorithms (Springer Monographs in Mathematics)

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