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100805s2010 xxk| s |||| 0|eng d |
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|a 9781849962995
|9 978-1-84996-299-5
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|a 10.1007/978-1-84996-299-5
|2 doi
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|a QA184-205
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|a PBF
|2 bicssc
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|a MAT002050
|2 bisacsh
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|a 512.5
|2 23
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|a Butkovi , Peter.
|e author.
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|a Max-linear Systems: Theory and Algorithms
|c by Peter Butkovi .
|h [electronic resource] /
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| 264 |
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|a London :
|b Springer London :
|b Imprint: Springer,
|c 2010.
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| 300 |
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|a XVIII, 274 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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| 505 |
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|a 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.
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|a 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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| 650 |
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|a Mathematics.
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| 650 |
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|a Matrix theory.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Linear and Multilinear Algebras, Matrix Theory.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781849962988
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| 830 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84996-299-5
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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