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Springer Monographs in Mathematics

Max-linear Systems: Theory and Algorithms

Authors: Butkovič, Peter

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  • -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
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eBook 71,68 €
price for Spain (gross)
  • ISBN 978-1-84996-299-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
Softcover 88,39 €
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About this book

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

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-1-84996-299-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
Softcover 88,39 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Max-linear Systems: Theory and Algorithms
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2010
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-1-84996-299-5
DOI
10.1007/978-1-84996-299-5
Hardcover ISBN
978-1-84996-298-8
Softcover ISBN
978-1-4471-2583-9
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVIII, 274
Topics

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