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Nonlinear programming 3 : proceedings of the Special Interest Group on Mathematical Programming symposium

Author: Olvi L Mangasarian; Robert R Meyer; Stephen M Robinson; Association for Computing Machinery. Special Interest Group on Mathematical Programming.
Publisher: Burlington : Academic Press/Elsevier Science, [2014], ©1978.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Mangasarian, Olvi L.
Nonlinear Programming 3 : Proceedings of the Special Interest Group on Mathematical Programming Symposium Conducted by the Computer Sciences Department at the University of Wisconsin-Madison, July 11-13, 1977.
Burlington : Elsevier Science, ©2014
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olvi L Mangasarian; Robert R Meyer; Stephen M Robinson; Association for Computing Machinery. Special Interest Group on Mathematical Programming.
ISBN: 9781483260327 1483260321
OCLC Number: 898768955
Notes: 4. local q-superlinear convergence on nonlinear problems.
Nonlinear Programming 3.
Description: 1 online resource (486 pages)
Contents: Front Cover; Nonlinear Programming 3; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; CHAPTER 1. MONOTONE OPERATORS AND AUGMENTED LAGRANGIAN METHODS IN NONLINEAR PROGRAMMING; ABSTRACT; 1. INTRODUCTION; 2. MONOTONE OPERATORS AND VARIATIONAL INEQUALITIES; 3. PROXIMAL POINT ALGORITHM FOR MONOTONE OPERATORS; 4. APPLICATION TO CONVEX PROGRAMMING; 5. APPLICATION TO VARIATIONAL INEQUALITIES; REFERENCES; CHAPTER 2. THE CONVERGENCE OF VARIABLE METRIC METHODS FOR NONLINEARLY CONSTRAINED OPTIMIZATION CALCULATIONS; ABSTRACT; 1. INTRODUCTION; 2. SOME CONDITIONS AND THEIR CONSEQUENCES. 3. A GENERAL THEOREM EOR SUPERLINEAR CONVERGENCE4. THE DEFINITION OF Bk+1; 5. AN R-SUPERLINEAR CONVERGENCE THEOREM; ACKNOWLEDGMENT; REFERENCES; CHAPTER 3. A HYBRID METHOD FOR NONLINEAR PROGRAMMING; ABSTRACT; 1. INTRODUCTION; 2. THE METHOD; 3. GLOBAL PROPERTIES; 4. LOCAL PROPERTIES; 5. CONCLUSIONS; REFERENCES; CHAPTER 4. TWO-PHASE ALGORITHM FOR NONLINEAR CONSTRAINT PROBLEMS; ABSTRACT; 1. INTRODUCTION; 2. LINEARIZATION OF NONLINEAR CONSTRAINTS; 3. EXTERNAL SQUARED PENALTY; 4. PRACTICAL IMPLEMENTATION; 5. DISCUSSION; REFERENCES. Chapter 5. quasi-newton methods for equality constrained optimization: equivalence of existing methods and a new implementation1. introduction; 2. the multiplier extension quasi-newton methods; 3. the structured multiplier extension quasi-newton methods; 4. the multiplier update quasi-newton methods; 5. the balanced multiplier update quasi-newton methods; 6. the quadratic programming quasi-newton method; 7. the addition of superstructure; 8. the multiplier substitution quasi-newton methods; 9. the structured multiplier substitution quasi-newton methods. 10. the best of the multiplier quasi-newton methods11. an implementation based on the svd; references; chapter 6. an idealized exact penalty function; abstract; 1. introduction; 2. movement of a particle under different forces; 3. fletcher's exact penalty function (equality case); 4. the inequality constrained problem; 5. fletcher's exact penalty function (inequality case); references; chapter 7. exact penalty algorithms for nonlinear programming; abstract; 1. introduction; 2. definitions and notations; 3. stationary points of the exact penalty function and optimality functions. 4. description of the algorithm5. rate of convergence of the exact penalty algorithms; 6. computational results; 7. additional results; acknowledgments; references; chapter 8. a variable metric method for linearly constrained minimization problems; 1. introduction; 2. general description of the algorithm; 3. detailed statement of the algorithm; 4. superlinear convergence; references; chapter 9. solving systems of nonlinear equations by broyden's method with projected updates; abstract; 1. introduction; 2. the new method; 3. behavior on linear or partly linear problems.
Responsibility: conducted by the Computer Sciences Department at the University of Wisconsin--Madison, July 11-13, 1977 ; edited by Olvi L. Mangasarian, Robert R. Meyer, Stephen M. Robinson.

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