Name: minimax algebra (en Inglés)
SKU: 25912049
Price: 114.57 USD
Availability: InStock
Author: Cuninghame-Green, R. A.
ISBN: 9783540091134

Formato

Libro Físico

Autor

R. A. Cuninghame-Green

Editorial

Springer

Año

1979

Idioma

Inglés

N° páginas

258

Encuadernación

Tapa Blanda

Dimensiones

24.4x17x1.5 cm

Peso

0.44 kg.

ISBN

3540091130

ISBN13

9783540091134

Categorías

Teoría y filosofía económicas

minimax algebra (en Inglés)

R. A. Cuninghame-Green (Autor) · Springer · Tapa Blanda

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Reseña del libro "minimax algebra (en Inglés)"

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(R)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, $, (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or approximately, the eigenvector- eigenvalue problem andso on.Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.