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As the Solutions Manual, this book is meant to accompany the main title, Nonlinear Programming: Theory and Algorithms, Third Edition. This book presents recent developments of key topics in nonlinear programming (NLP) using a logical and self-contained format. The volume is divided into three sections: convex analysis, optimality conditions, and dual computational techniques. Precise statements of algortihms are given along with convergence analysis. Each chapter contains detailed numerical examples, graphical illustrations, and numerous exercises to aid readers in understanding the concepts and methods discussed.
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Seitenzahl: 176
Veröffentlichungsjahr: 2014
TABLE OF CONTENTS
CHAPTER 1: INTRODUCTION
CHAPTER 2: CONVEX SETS
CHAPTER 3: CONVEX FUNCTIONS AND GENERALIZATIONS
CHAPTER 4: THE FRITZ JOHN AND KARUSH-KUHN-TUCKER OPTIMALITY CONDITIONS
CHAPTER 5: CONSTRAINT QUALIFICATIONS
CHAPTER 6: LAGRANGIAN DUALITY AND SADDLE POINT OPTIMALITY CONDITIONS
CHAPTER 7: THE CONCEPT OF AN ALGORITHM
CHAPTER 8: UNCONSTRAINED OPTIMIZATION
CHAPTER 9: PENALTY AND BARRIER FUNCTIONS
CHAPTER 10: METHODS OF FEASIBLE DIRECTIONS
CHAPTER 11: LINEAR COMPLEMENTARY PROBLEM, AND QUADRATIC, SEPARABLE, FRACTIONAL, AND GEOMETRIC PROGRAMMING
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Library of Congress Cataloging-in-Publication Data is available.
ISBN 978-1-118-76237-0
