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Lecture Notes in Economics and Mathematical Systems

Minimax Algebra

Authors: Cuninghame-Green, R. A.

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About this book

A number of different problems of interest to the operational researcher and the mathematical economist - for example, certain problems of optimization on graphs and networks, of machine-scheduling, of convex analysis and of approx­ imation theory - can be formulated in a convenient way using the algebraic structure (R,$,@) where we may think of R as the (extended) real-number system with the binary combining operations x$y, x®y defined to be max(x,y),(x+y) respectively. The use of this algebraic structure gives these problems the character of problems of linear algebra, or linear operator theory. This fact hB.s been independently discovered by a number of people working in various fields and in different notations, and the starting-point for the present Lecture Notes was the writer's persuasion that the time had arrived to present a unified account of the algebra of linear transformations of spaces of n-tuples over (R,$,®),to demonstrate its relevance to operational research and to give solutions to the standard linear-algebraic problems which arise - e.g. the solution of linear equations exactly or approximately, the eigenvector­ eigenvalue problem andso on.Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.

Table of contents (29 chapters)

Table of contents (29 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-642-48708-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 103,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Minimax Algebra
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
166
Copyright
1979
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-48708-8
DOI
10.1007/978-3-642-48708-8
Softcover ISBN
978-3-540-09113-4
Series ISSN
0075-8442
Edition Number
1
Number of Pages
XI, 258
Topics

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