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The main contents and character of the monograph did not change
with respect to the first edition. However, within most chapters we
incorporated quite a number of modifications which take into
account the recent development of the field, the very valuable
suggestions and comments that we received from numerous colleagues
and students as well as our own experience while using the book.
Some errors and misprints in the first edition are also corrected.
Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The
enormous practical need for solving global optimization problems
coupled with a rapidly advancing computer technology has allowed
one to consider problems which a few years aga would have been
considered computationally intractable. As a consequence, we are
seeing the creation of a large and increasing number of diverse
algorithms for solving a wide variety of multiextremal global
optimization problems. The goal of this book is to systematically
clarify and unify these diverse approaches in order to provide
insight into the underlying concepts and their pro perties. Aside
from a coherent view of the field much new material is presented."
This volume is a collection of papers presented at the Eighth
French-German Conference on Optimization held at the University of
Trier (Germany) in 1996. From July 21 through July 26, 1996, about
100 scientists, mainly from France and Germany, but also from other
countries, met at Trier to discuss recent de- velopments in the
field of optimization. 89 lectures were delivered, covering a large
range of theoretical and practical aspects of optimization. Most of
the talks were scheduled in two parallel sessions, grouped into
sections including convex and nonsmooth analysis, methods in convex
and nonconvex program- ming, sensitivity and stability analysis,
control theory, ill-posed programming problems, equilibrium
problems, and global optimization. Continuing an old tradition, the
Eighth French-German Conference on Opti- mization demonstrated
vividly the vitality of the French-German cooperation in
mathematics. The Scientific Committee of the conference consisted
of A. Auslender (Paris), H.G. Bock (Heidelberg), S. Dolecki
(Dijon), R. Durier (Dijon), J.B. Hiriart- Urruty (Toulouse), H. Th.
Jongen (Aachen), D. Klatte (Zurich), B. Kum- mer (Berlin), C.
Lemarechal (Rocquencourt), P. Loridan (Paris), C. Mich- elot
(Dijon), W. Oettli (Mannheim), D. Pallaschke (Karlsruhe), J.P.
Penot (Pau), J. Stoer (Wurzburg), M. Thera (Limoges), L. Thibault
(Montpellier), R. Tichatschke (Trier)' J. Zowe (Erlangen).
The main contents and character of the monograph did not change
with respect to the first edition. However, within most chapters we
incorporated quite a number of modifications which take into
account the recent development of the field, the very valuable
suggestions and comments that we received from numerous colleagues
and students as well as our own experience while using the book.
Some errors and misprints in the first edition are also corrected.
Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The
enormous practical need for solving global optimization problems
coupled with a rapidly advancing computer technology has allowed
one to consider problems which a few years aga would have been
considered computationally intractable. As a consequence, we are
seeing the creation of a large and increasing number of diverse
algorithms for solving a wide variety of multiextremal global
optimization problems. The goal of this book is to systematically
clarify and unify these diverse approaches in order to provide
insight into the underlying concepts and their pro perties. Aside
from a coherent view of the field much new material is presented."
Global optimization is concerned with the computation and
characterization of global optima of nonlinear functions. During
the past three decades the field of global optimization has been
growing at a rapid pace, and the number of publications on all
aspects of global optimization has been increasing steadily. Many
applications, as well as new theoretical, algorithmic, and
computational contributions have resulted. The Handbook of Global
Optimization is the first comprehensive book to cover recent
developments in global optimization. Each contribution in the
Handbook is essentially expository in nature, but scholarly in its
treatment. The chapters cover optimality conditions, complexity
results, concave minimization, DC programming, general quadratic
programming, nonlinear complementarity, minimax problems,
multiplicative programming, Lipschitz optimization, fractional
programming, network problems, trajectory methods, homotopy
methods, interval methods, and stochastic approaches. The Handbook
of Global Optimization is addressed to researchers in mathematical
programming, as well as all scientists who use optimization methods
to model and solve problems.
th The purpose of this volume is to reflect the scientific
activities during the 16 Sym- posium on Operations Research which
took place at the University of Trier from September 9 through
September 11, 1991. The Symposia on Operations Research are the
annual conferences of the Gesellschaft fur Mathematik, Okonomie und
Operations Research (GMOOR). This so- ciety which was founded in
1977 pursues the goal to support and facilitate research,
development, application and education in an area where
mathematics, economICS, operations research, computer science and
system theory come together. th The 16 ' Symposium on Operations
Research stood under t.he auspices of the Minister- priisident of
the state of Rheinland-Pfalz, Rudolf Scharping. The opening
addresses were given by the president of the Universitiit Trier,
Professor Hasler, by the Minister fur Wissenschaft und
Weiterbildung, Professor Zollner, and by Professor Hettich, on
behalf of the organizers. These addresses are printed as part of
the introductory material of this volume. The conference was
attended by 351 participants from 29 countries; more than 70% of
the participants gave lectures on their current res each interests,
surveys on spe- cial topics or software demonstrations. They made
the meeting truely a successful international forum for scientific
exchange. The conference was highlighted by the award of the
society's scientific prize in memo- riam Rudolf Henn to Professor
R.E. Burkard, Technical University Graz, and his plenary
GMOOR-Award winner lecture on Convexity and Discrete Optimization.
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