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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
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
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: [...]
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 272 |
| Reihe: |
Schriftenreihe Markt und Marketing
Springer Monographs in Mathematics |
| Inhalt: |
xviii
274 S. 10 s/w Illustr. |
| ISBN-13: | 9781849962988 |
| ISBN-10: | 1849962987 |
| Sprache: | Englisch |
| Herstellernummer: | 12571369 |
| Einband: | Gebunden |
| Autor: | Butkovi, Peter |
| Hersteller: |
Springer-Verlag GmbH
Springer-Verlag London Ltd. |
| Abbildungen: | 10 schwarz-weiße und 10 farbige Abbildungen |
| Maße: | 237 x 164 x 23 mm |
| Von/Mit: | Peter Butkovi |
| Erscheinungsdatum: | 27.08.2010 |
| Gewicht: | 0,575 kg |
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: [...]
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 272 |
| Reihe: |
Schriftenreihe Markt und Marketing
Springer Monographs in Mathematics |
| Inhalt: |
xviii
274 S. 10 s/w Illustr. |
| ISBN-13: | 9781849962988 |
| ISBN-10: | 1849962987 |
| Sprache: | Englisch |
| Herstellernummer: | 12571369 |
| Einband: | Gebunden |
| Autor: | Butkovi, Peter |
| Hersteller: |
Springer-Verlag GmbH
Springer-Verlag London Ltd. |
| Abbildungen: | 10 schwarz-weiße und 10 farbige Abbildungen |
| Maße: | 237 x 164 x 23 mm |
| Von/Mit: | Peter Butkovi |
| Erscheinungsdatum: | 27.08.2010 |
| Gewicht: | 0,575 kg |
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