Nonlinear Programming 3 covers the proceedings of the Special Interest Group on Mathematical Programming Symposium conducted by the Computer Sciences Department at the University of Wisconsin, Madison, on July 11-13, 1977. This book is composed of 17 chapters. The first eight chapters describe some of the most effective methods available for solving linearly and nonlinearly constrained optimization problems. The subsequent chapter gives algorithms for the solution of nonlinear equations together with computational experience. Other chapters provide some applications of optimization in operations research and a measurement procedure for optimization algorithm efficiency. These topics are followed by discussion of the methods for solving large quadratic programs and algorithms for solving stationary and fixed point problems. The last chapters consider the minimization of certain types of nondifferentiable functions and a type of Newton method. This book will prove useful to mathematicians and computer scientists.

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Yes, you can access Nonlinear Programming 3 by Olvi L. Mangasarian,Robert R. Meyer,Stephen M. Robinson in PDF and/or ePUB format, as well as other popular books in Mathematik & Angewandte Mathematik. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Academic Press

Year

2014

ISBN

9781483260327

Topic

Mathematik

Subtopic

Angewandte Mathematik

Front Cover
Nonlinear Programming 3
Copyright Page
Table of Contents
CONTRIBUTORS
PREFACE
CHAPTER 1. MONOTONE OPERATORS AND AUGMENTED LAGRANGIAN METHODS IN NONLINEAR PROGRAMMING
CHAPTER 2. THE CONVERGENCE OF VARIABLE METRIC METHODS FOR NONLINEARLY CONSTRAINED OPTIMIZATION CALCULATIONS
CHAPTER 3. A HYBRID METHOD FOR NONLINEAR PROGRAMMING
CHAPTER 4. TWO-PHASE ALGORITHM FOR NONLINEAR CONSTRAINT PROBLEMS
CHAPTER 5. QUASI-NEWTON METHODS FOR EQUALITY CONSTRAINED OPTIMIZATION: EQUIVALENCE OF EXISTING METHODS AND A NEW IMPLEMENTATION
CHAPTER 6. AN IDEALIZED EXACT PENALTY FUNCTION
CHAPTER 7. EXACT PENALTY ALGORITHMS FOR NONLINEAR PROGRAMMING
CHAPTER 8. A VARIABLE METRIC METHOD FOR LINEARLY CONSTRAINED MINIMIZATION PROBLEMS
CHAPTER 9. SOLVING SYSTEMS OF NONLINEAR EQUATIONS BY BROYDEN'S METHOD WITH PROJECTED UPDATES
CHAPTER 10. AT THE INTERFACE OF MODELING AND ALGORITHMS RESEARCH
CHAPTER 11. MODELING COMBINATORIAL MATHEMATICAL PROGRAMMING PROBLEMS BY NETFORMS: AN ILLUSTRATIVE APPLICATION
CHAPTER 12. ON THE COMPARATIVE EVALUATION OF ALGORITHMS FOR MATHEMATICAL PROGRAMMING PROBLEMS
CHAPTER 13. A SPECIAL CLASS OF LARGE QUADRATIC PROGRAMS
CHAPTER 14. COMPUTING STATIONARY POINTS, AGAIN
CHAPTER 15. A COMBINATORIAL LEMMA FOR FIXED POINT ALGORITHMS
CHAPTER 16. MINIMISATION DE FONCTIONS LOCALEMENT LIPSCHITZIENNES: APPLICATIONS A LA PROGRAMMATION MI-CONVEXE, MI-DIFFERENTIABLE
CHAPTER 17. A MODIFIED NEWTON ALGORITHM FOR FUNCTIONS OVER CONVEX SETS
SUBJECT INDEX