Nonlinear Programming
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970
- 502 pages
- English
- PDF
- Available on iOS & Android
Nonlinear Programming
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970
About This Book
Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems. This compilation consists of 17 chapters. Chapters 1 to 9 are concerned primarily with computational algorithms, while Chapters 10 to 13 are devoted to theoretical aspects of nonlinear programming. Certain applications of nonlinear programming are considered in Chapters 14 to 17. The algorithms for nonlinear constraint problems, investigation of convergence rates, and use of nonlinear programming for approximation are also covered in this text. This publication is a good source for students and researchers concerned with nonlinear programming.
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Table of contents
- Front Cover
- Nonlinear Programming
- Copyright Page
- Table of Contents
- Foreword
- Preface
- Chapter 1. A Method of Centers by Upper-Bounding Functions with Applications
- Chapter 2. A New Algorithm for Unconstrained Optimization
- Chapter 3. A Class of Methods for Nonlinear Programming II Computational Experience
- Chapter 4. Some Algorithms Based on the Principle of Feasible Directions
- Chapter 5. Numerical Techniques in Mathematical Programming
- Chapter 6. A Superlinearly Convergent Method for Unconstrained Minimization
- Chapter 7. A Second Order Method for the Linearly Constrained Nonlinear Programming Problem
- Chapter 8. Convergent Step-Sizes for Gradient-Like Feasible Direction Algorithms for Constrained Optimization
- Chapter 9. On the Implementation of Conceptual Algorithms
- Chapter 10. Some Convex Programs Whose Duals Are Linearly Constrained
- Chapter 11. Sufficiency Conditions and a Duality Theory for Mathematical Programming Problems in Arbitrary Linear Spaces
- Chapter 12. Recent Results on Complementarity Problems
- Chapter 13. Nonlinear Nondifferentiable Programming in Complex Space
- Chapter 14. Duality Inequalities of Mathematics and Science
- Chapter 15. Programming Methods in Statistics and Probability Theory
- Chapter 16. Applications of Mathematical Programming to lP Approximation
- Chapter 17. Theoretical and Computational Aspects of Nonlinear Regression
- Index