Overview
- Provides a reader-friendly introduction for those not familiar with max-algebra, in addition to advanced material for those working in tropical geometry
- Presents a comprehensive & self-contained theory of max-algebra in full generality
- Contains results never published before
- Illustrated with numerical examples; complemented by exercises, & accompanied by both practical &theoretical applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices.
Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all.
Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.
Authors and Affiliations
Bibliographic Information
Book Title: Max-linear Systems: Theory and Algorithms
Authors: Peter Butkovič
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-84996-299-5
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2010
Hardcover ISBN: 978-1-84996-298-8Published: 27 August 2010
Softcover ISBN: 978-1-4471-2583-9Published: 13 October 2012
eBook ISBN: 978-1-84996-299-5Published: 05 August 2010
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVIII, 274
Topics: Linear and Multilinear Algebras, Matrix Theory, Algebra