Nonlinear programming 3 [electronic resource] : 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 ; edited by Olvi L. Mangasarian, Robert R. Meyer, Stephen M. Robinson.

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Bibliographic Details
Online Access: Full Text (via ScienceDirect)
Corporate Authors: Nonlinear Programming Symposium Madison, Wis., Association for Computing Machinery. Special Interest Group on Mathematical Programming, University of Wisconsin--Madison. Computer Sciences Department
Other Authors: Mangasarian, Olvi L., 1934-, Meyer, Robert R., Robinson, Stephen M.
Format: Electronic Conference Proceeding eBook
Language:English
Published: New York : Academic Press, 1978.
Subjects:

MARC

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111 2 |a Nonlinear Programming Symposium  |n (3rd :  |d 1977 :  |c Madison, Wis.) 
245 1 0 |a Nonlinear programming 3  |h [electronic resource] :  |b proceedings of the Special Interest Group on Mathematical Programming symposium /  |c 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. 
260 |a New York :  |b Academic Press,  |c 1978. 
300 |a 1 online resource (ix, 475 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent. 
337 |a computer  |b c  |2 rdamedia. 
338 |a online resource  |b cr  |2 rdacarrier. 
504 |a Includes bibliographical references and index. 
505 0 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
546 |a English. 
588 0 |a Print version record. 
650 0 |a Nonlinear programming  |v Congresses. 
650 7 |a Nonlinear programming.  |2 fast  |0 (OCoLC)fst01038808. 
655 7 |a Conference papers and proceedings.  |2 fast  |0 (OCoLC)fst01423772. 
700 1 |a Mangasarian, Olvi L.,  |d 1934-  |0 http://id.loc.gov/authorities/names/n79053726  |1 http://isni.org/isni/0000000109307875. 
700 1 |a Meyer, Robert R.  |0 http://id.loc.gov/authorities/names/n81052356  |1 http://isni.org/isni/0000000067268184. 
700 1 |a Robinson, Stephen M.  |0 http://id.loc.gov/authorities/names/n50046569  |1 http://isni.org/isni/0000000109849770. 
710 2 |a Association for Computing Machinery.  |b Special Interest Group on Mathematical Programming.  |0 http://id.loc.gov/authorities/names/no92013140  |1 http://isni.org/isni/0000000102572967. 
710 2 |a University of Wisconsin--Madison.  |b Computer Sciences Department.  |0 http://id.loc.gov/authorities/names/n81052600. 
776 0 8 |i Print version:  |a Nonlinear Programming Symposium (3rd : 1977 : Madison, Wis.).  |t Nonlinear programming 3.  |d New York : Academic Press, 1978  |w (DLC) 78015926  |w (OCoLC)4037143. 
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