Linear Programming
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Beschreibung
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
To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming…. The presentation is admirable; Karloff's style is informal...without sacrificing anything necessary for understanding. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study.
—Choice Reviews
This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice.
—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
An affordable new softcover edition of a classic text The first survey of linear programming accessible to upper-division undergraduate and graduate students A self-contained, concise mathematical introduction to the theory of linear programming Replete with exercises and illustrations The exposition is clear and elementary; the style is informal without sacrificing anything necessary for understanding Contains both theory and computational practice
Autor*in
Howard Karloff
Themen in »Linear Programming«
Ellipsoid Algorithm Mathematica Rack Simplex Algorithm algorithm algorithms clsmbc complexity complexity theory computational complexity geometry linear algebra linear optimization linear programming programming
Stimmen zu »Linear Programming«
From the 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)
“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)
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