Nonlinear Programming: Analysis and Methods

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Courier Corporation, 2003 - Mathematics - 512 pages
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Comprehensive and complete, this overview provides a single-volume treatment of key algorithms and theories. The author provides clear explanations of all theoretical aspects, with rigorous proof of most results. The two-part treatment begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs. The second part concerns techniques for numerical solutions and unconstrained optimization methods, and it presents commonly used algorithms for constrained nonlinear optimization problems. This graduate-level text requires no advanced mathematical background beyond elementary calculus, linear algebra, and real analysis. 1976 edition. 58 figures. 7 tables.
 

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Contents

I
1
II
7
III
9
IV
27
V
63
VI
104
VII
144
VIII
184
X
215
XI
244
XII
287
XIII
321
XIV
371
XV
419
XVI
460
Copyright

IX
213

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About the author (2003)

Mordecai Avriel is Director of Analytical Development at Bank Hapoalim in Tel Aviv, Israel, and is Professor Emeritus of the Faculty of Industrial Engineering and Management at Technion Israel Institute of Technology.

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