Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Max-linear Systems: Theory and Algorithms

Max-linear Systems: Theory and Algorithms
Catalogue Information
Field name Details
Dewey Class 512.5
Title Max-linear Systems: Theory and Algorithms (EB) / by Peter Butkovič
Author Butkovič, Peter
Other name(s) SpringerLink (Online service)
Publication London : Springer London
, 2010.
Physical Details XVIII, 274 pages : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9781849962995
Summary Note 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:
Contents note Introduction -- Max-algebra: Two Special Features -- One-sided Max-linear Systems and Max-algebraic Subspaces -- Eigenvalues and Eigenvectors -- Maxpolynomials. The Characteristic Maxpolynomial -- Linear Independence and Rank. The Simple Image Set -- Two-sided Max-linear Systems -- Reachability of Eigenspaces -- Generalized Eigenproblem -- Max-linear Programs -- Conclusions and Open Problems.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
Links to Related Works
Subject References:
Corporate Authors:
Catalogue Information 27849 Beginning of record . Catalogue Information 27849 Top of page .


This item has not been rated.    Add a Review and/or Rating27849
. E-mail This Page
Quick Search