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Max-Linear Systems: Theory and Algorithms by Peter Butkovič

Max-Linear Systems: Theory and Algorithms

by Peter Butkovič
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Book cover type: Paperback
  • ISBN13: 9781447125839
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 274
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2010
  • Item Weight: 418 grams
  • BISAC Subject(s): Algebra / Linear and Algebra / General

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

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