Nonlinear Programming 2: 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

Mangasarian, O. L. (Editor) / Robinson, S. M. (Series Editor) / Meyer, R. R. (Series Editor)

ISBN 10: 1483243095 / ISBN 13: 9781483243092

Published by Academic Press, 2014

About this Item

372 pages. 9.25x6.00x0.84 inches. In Stock.

Seller Inventory # zk1483243095

Bibliographic Details

• Title: Nonlinear Programming 2: 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
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1483243095
• ISBN 13: 9781483243092
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

Nonlinear Programming 2 covers the proceedings of the Special Interest Group on Mathematical Programming Symposium conducted by the Computer Sciences Department at the University of Wisconsin, Madison, on April 15-17, 1974.This book is divided into 13 chapters and begins with a survey of the global and superlinear convergence of a class of algorithms obtained by imposing changing bounds on the variables of the problem. The succeeding chapters deal with the convergence of the well-known reduced gradient method under suitable conditions and a superlinearly convergent quasi-Newton method for unconstrained minimization. These topics are followed by discussion of a superlinearly convergent algorithm for linearly constrained optimization problems and the effective methods for constrained optimization, namely the method of augmented Lagrangians. Other chapters explore a method for handling minimization problems with discontinuous derivatives and the advantages of factorizations of updating for Jacobian-related matrices in minimization problems. The last chapters present the Newton-like methods for the solution of nonlinear equations and inequalities, along with the various aspects of integer programming.This book will prove useful to mathematicians and computer scientists.