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
Publication subTitle ：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
Author： Mangasarian O. L.;Meyer R. R.;Robinson S. M.
Publisher： Elsevier Science
Publication year： 2014
E-ISBN: 9781483260419
P-ISBN(Paperback): 9780124686502
P-ISBN(Hardback): 9780124686502
Subject： O221 On mathematics planning (planning)
Keyword： 数理科学和化学
Language： ENG
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Description
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.