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＜電子ブック＞
Linear Programming / by Howard Karloff
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 1991.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	1991
本文言語	英語
大きさ	VIII, 144 p. 6 illus : online resource
著者標目	*Karloff, Howard author SpringerLink (Online service)
件　名	LCSH:Computer programming LCSH:Mathematics LCSH:Compilers (Computer programs) LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Algorithms FREE:Programming Techniques FREE:Applications of Mathematics FREE:Compilers and Interpreters FREE:Mathematical Applications in Computer Science FREE:Computational Mathematics and Numerical Analysis FREE:Algorithms
一般注記	The Basics -- The Simplex Algorithm -- Duality -- The Ellipsoid Algorithm -- Karmarkar’s Algorithm To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method…via the Ellipsoid algorithm to Karmarkar’s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff's style is informal (even humorous at times) without sacrificing anything necessary for understanding. Diagrams (including horizontal brackets that group terms) aid in providing clarity. The end-of-chapter notes are helpful...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews The reader will be well served by reading the monograph from cover to cover. The author succeeds in providing a concise, readable, understandable introduction to modern linear programming. —Mathematics of Computing This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. After preliminary discussion of linear algebra and geometry, it describes the simplex algorithm, duality, the ellipsoid algorithm (Khachiyan’s algorithm) and Karmarkar’s algorithm. —Zentralblatt Math The exposition is clear and elementary; it also contains many exercises and illustrations. —Mathematical Reviews A self-contained, concise mathematical introduction to the theory of linear programming. —Journal of Economic Literature HTTP:URL=https://doi.org/10.1007/978-0-8176-4844-2

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