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Книга Interior Point Methods of Mathematical Programming Tamás Terlaky

Interior Point Methods of Mathematical Programming

Автор: Tamás Terlaky
Език: Английски език
Корици: С меки корици
Издател: Springer-Verlag New York Inc.
Наличност: Външен склад
Изпращаме след 5-8 дни
315.36 € 616.79 лв
One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery c...

Информация за книгата

Автор
Tamás Terlaky
Език
Английски език
Корици
Книга - С меки корици
Издадена
2011
страници
530
EAN
9781461334514
ISBN
9781461334514
Enbook ID
06622476
Издател
Springer-Verlag New York Inc.
Теглоt
877
Размери
160 x 240 x 30

Пълно описание

One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery consists of seeing what every body has seen and thinking what nobody has thought. Albert S. ent_Gyorgy; The primary goal of this book is to provide an introduction to the theory of Interior Point Methods (IPMs) in Mathematical Programming. At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems. The Simplex Method has dominated the theory and practice of mathematical pro gramming since 1947 when Dantzig discovered it. In the fifties and sixties several attempts were made to develop alternative solution methods. At that time the prin cipal base of interior point methods was also developed, for example in the work of Frisch (1955), Caroll (1961), Huard (1967), Fiacco and McCormick (1968) and Dikin (1967). In 1972 Klee and Minty made explicit that in the worst case some variants of the simplex method may require an exponential amount of work to solve Linear Programming (LP) problems. This was at the time when complexity theory became a topic of great interest. People started to classify mathematical programming prob lems as efficiently (in polynomial time) solvable and as difficult (NP-hard) problems. For a while it remained open whether LP was solvable in polynomial time or not. The break-through resolution ofthis problem was obtained by Khachijan (1989).

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