| 書目名稱 | Minimax Algebra | | 編輯 | Raymond Cuninghame-Green | | 視頻video | http://file.papertrans.cn/635/634605/634605.mp4 | | 叢書名稱 | Lecture Notes in Economics and Mathematical Systems | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Book 1979 | | 關(guān)鍵詞 | Lineare Algebra; convex analysis; graph theory; inequality; linear optimization; network; networks; optimiz | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-48708-8 | | isbn_softcover | 978-3-540-09113-4 | | isbn_ebook | 978-3-642-48708-8Series ISSN 0075-8442 Series E-ISSN 2196-9957 | | issn_series | 0075-8442 | | copyright | Springer-Verlag Berlin Heidelberg 1979 |
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