Nonlinear Programming : Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970

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. Content: Front Matter, Page iii Copyright, Page iv Foreword, Pages ix-x, J.B. Rosen Preface, Pages xi-xii, J.B. Rosen A Method of Centers by Upper-Bounding Functions with Applications, Pages 1-30, P. HUARD A New Algorithm for Unconstrained Optimization, Pages 31-65, M.J.D. POWELL A Class of Methods for Nonlinear Programming II Computational Experience, Pages 67-92, R. FLETCHER, SHIRLEY A. LILL Some Algorithms Based on the Principle of Feasible Directions, Pages 93-121, G. ZOUTENDIJK Numerical Techniques in Mathematical Programming, Pages 123-176, R.H. BARTELS, G.H. GOLUB, M.A. SAUNDERS A Superlinearly Convergent Method for Unconstrained Minimization, Pages 177-206, K. RITTER A Second Order Method for the Linearly Constrained Nonlinear Programming Problem, Pages 207-243, GARTH P. McCORMICK Convergent Step-Sizes for Gradient-Like Feasible Direction Algorithms for Constrained Optimization, Pages 245-274, JAMES W. DANIEL On the Implementation of Conceptual Algorithms, Pages 275-291, E. POLAK Some Convex Programs Whose Duals Are Linearly Constrained, Pages 293-322, R. TYRRELL ROCKAFELLAR Sufficiency Conditions and a Duality Theory for Mathematical Programming Problems in Arbitrary Linear Spaces, Pages 323-348, LUCIEN W. NEUSTADT Recent Results on Complementarity Problems, Pages 349-384, C.E. LEMKE Nonlinear Nondifferentiable Programming in Complex Space, Pages 385-400, BERTRAM MOND Duality Inequalities of Mathematics and Science, Pages 401-423, R.J. DUFFIN Programming Methods in Statistics and Probability Theory, Pages 425-446, OLAF KRAFFT Applications of Mathematical Programming to lp Approximation, Pages 447-464, I. BARRODALE, F.D.K. ROBERTS Theoretical and Computational Aspects of Nonlinear Regression, Pages 465-486, R.R. MEYER Index, Pages 487-490 This volume contains the proceedings of a symposium on nonlinear programming, conducted by the Mathematics Research Center, held at the University of Wisconsin--Madison, on May 4-6, 1970. There are nine papers concerned with computational algorithms, four with theoretical aspects of nonlinear programming, and the final four with application to other areas (physics, statistics, approximation) which may in turn be used to solve other problems. The symposium set out to strengthen the relationship between theory and the computational aspects of this subject, and these proceedings are presented as evidence of success in that endeavor Edited By J. B. Rosen, O. L. Mangasarian [and] K. Ritter. Conducted By The Mathematics Research Center, The University Of Wisconsin, Madison. Includes Bibliographies.