Introduction to Optimization Techniques: Fundamentals and Applications of Nonlinear Programming

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Macmillan Company, 1971 - Mathematics - 335 pages
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The purpose of the book is to introduce the basic techniques for locating extrema (minima or maxima) of a function of several variables. Such a need arises naturally in various design optimization and planning problems. A standard set of techniques for unconstrained function extremization are presented. Small-step and large-step gradient methods: methods involving second partial derivatives of the function, such as the Newton-Raphson method and the Davidon-Fletcher-Powell method; and several other direct search methods are discussed. There are also discussions on elementary aspects of function extremization subject to linear or nonlinear constraints-such as the concept of constraint qualification, Fritz-John and Kuhn-Tucker theorems, penalty function method, etc. assuming differentiability and convexity of objective functions and constraint equations. In addition to presenting various standard algorithms for function extremization, the book also contains some simplified accounts of optimization problems drawn from various branches of engineering and operations research. (Author).

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Criterion Function Representation

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