Nonlinear programming, 2 [electronic resource] : proceedings of the Special Interest Group on Mathematical Programming symposium, conducted by the Computer Sciences Department at the University of Wisconsin--Madison, April 15-17, 1974 / edited by O.L. Mangasarian, R.R. Meyer, S.M. Robinson.

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Bibliographic Details
Online Access: Full Text (via ScienceDirect)
Corporate Authors: Symposium on Nonlinear Programming 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, [1975]
Subjects:

MARC

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245 1 0 |a Nonlinear programming, 2  |h [electronic resource] :  |b proceedings of the Special Interest Group on Mathematical Programming symposium, conducted by the Computer Sciences Department at the University of Wisconsin--Madison, April 15-17, 1974 /  |c edited by O.L. Mangasarian, R.R. Meyer, S.M. Robinson. 
260 |a New York :  |b Academic Press,  |c [1975] 
300 |a 1 online resource (ix, 361 pages) 
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504 |a Includes bibliographical references and index. 
505 0 |a Front Cover; Nonlinear Programming 2; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; CHAPTER 1. CONVERGENCE PROPERTIES OF A CLASS OF MINIMIZATION ALGORITHMS; ABSTRACT; 1. The class of algorithms; 2. A global convergence theorem; 3. Convergence to a local minimum; 4. Superlinear convergence; 5. Applications; References; CHAPTER 2. CONVERGENCE OF THE REDUCED GRADIENT METHOD; 1. Introduction; 2. The Problem Set -- Notation -- Hypotheses; 3. Lemmas (Classical results); 4. Algorithm; 5. Convergence; 6. Remarks on the Hypothesis H2; 7. References. 
505 8 |a CHAPTER 3. A QUASI-NEWTON METHOD FOR UNCONSTRAINED MINIMIZATION PROBLEMSABSTRACT; 1. Introduction; 2. Some basic properties of quasi-Newton methods; 3. The influence of the step size; 4. The Algorithm; 5. Convergence Results; 6. A modified algorithm and its convergence properties; References; CHAPTER 4. SUPERLINEARLY CONVERGENT ALGORITHMSFOR LINEARLY CONSTRAINED OPTIMIZATION PROBLEMS; ABSTRACT; 1. Introduction; 2. The Algorithm; 3. Analysis and Convergence of the Algorithm; 4. Numerical Implementation; Acknowledgment; References. 
505 8 |a CHAPTER 7. RATE OF CONVERGENCE OF THE METHOD OF MULTIPLIERS WITH INEXACT MINIMIZATIONABSTRACT; 1. Introduction; 2. The Method of Multipliers; 3. Notation; 4. Duality; 5. The Method of Multipliers Algorithm; 6. Convergence Properties of the Algorithm; 7. Rate of Convergence; 8. Geometric Interpretations; 9. Conclusion; References; CHAPTER 8. OPTIMIZATION WITH CORNERS; Approach I, (Bypassing a vertex); Approach II; Approach III, The Convex Case; Bibliography; CHAPTER 9. THE USE OF MATRIX FACTORIZATIONS IN DERIVATIVEFREE NONLINEAR LEAST SQUARES ALGORITHMS; Abstract; 1. Introduction. 
505 8 |a 2. Notation and Outline of an Algorithm3. Extension to Nonlinear Least Squares; 4. Mechanics of Updating RTR; 5. Mechanics of Updating QR; 6. Monitoring and Efficiency; 7. Examples; Bibliography; CHAPTER 10. NEWTON DERIVED METHODS FOR NONLINEAR EQUATIONS AND INEQUALITIES; 1. Introduction; 2. The Algorithm: Convergence; 3. Rate of Convergence and Efficiency; Conclusion; Appendix; References; CHAPTER 11. DISJUNCTIVE PROGRAMMING: CUTTING PLANES FROM LOGICAL CONDITIONS; Abstract; 1. Introduction; 2. Generating Cuts from Disjunctive Constraints; 3. Mixed Integer 0-1 Programs. 
546 |a English. 
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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. 
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