Minimax Algebra - Lecture Notes in Economics and Mathematical Systems - Raymond Albert Cuninghame-Green - Livros - Springer-Verlag Berlin and Heidelberg Gm - 9783540091134 - 5 de fevereiro de 1979
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Raymond Albert Cuninghame-Green
Minimax Algebra - Lecture Notes in Economics and Mathematical Systems Softcover reprint of the original 1st ed. 1979 edition

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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 Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.

258 pages, biography

Mídia Livros     Paperback Book   (Livro de capa flexível e brochura)
Lançado 5 de fevereiro de 1979
ISBN13 9783540091134
Editoras Springer-Verlag Berlin and Heidelberg Gm
Páginas 258
Dimensões 170 × 244 × 14 mm   ·   444 g
Idioma Inglês  

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