Max-linear Systems: Theory and Algorithms
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 su...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
London :
Springer London
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2010. |
| سلاسل: | Springer Monographs in Mathematics
|
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Max-linear systems, theory and algorithms, Peter Butkovič, London, Springer, 2010, 1 vol. (XVII-272 p.), Springer monographs in mathematics, 978-1-84996-298-8 • Max-linear systems, theory and algorithms, Peter Butkovič, London, Springer, 2010, 1 vol. (XVII-272 p.), Springer monographs in mathematics, 978-1-84996-298-8 • Max-linear Systems: Theory and Algorithms, Texte imprimé, 9781447125839 • Max-linear Systems: Theory and Algorithms, Texte imprimé, 9781849963008 |
| الملخص: | 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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| وصف المادة: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ردمك: | 9781849962995 |
| تدمد: | 2196-9922 |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |