Introduction to Global Optimization

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Springer Science & Business Media, Dec 31, 2000 - Computers - 354 pages
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In this edition, the scope and character of the monograph did not change with respect to the first edition. Taking into account the rapid development of the field, we have, however, considerably enlarged its contents. Chapter 4 includes two additional sections 4.4 and 4.6 on theory and algorithms of D.C. Programming. Chapter 7, on Decomposition Algorithms in Nonconvex Optimization, is completely new. Besides this, we added several exercises and corrected errors and misprints in the first edition. We are grateful for valuable suggestions and comments that we received from several colleagues. R. Horst, P.M. Pardalos and N.V. Thoai March 2000 Preface to the First Edition Many recent advances in science, economics and engineering rely on nu merical techniques for computing globally optimal solutions to corresponding optimization problems. Global optimization problems are extraordinarily di verse and they include economic modeling, fixed charges, finance, networks and transportation, databases and chip design, image processing, nuclear and mechanical design, chemical engineering design and control, molecular biology, and environment al engineering. Due to the existence of multiple local optima that differ from the global solution all these problems cannot be solved by classical nonlinear programming techniques. During the past three decades, however, many new theoretical, algorith mic, and computational contributions have helped to solve globally multi extreme problems arising from important practical applications.
 

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Contents

III
1
IV
10
V
16
VI
20
VII
25
VIII
26
IX
32
X
34
LVI
188
LVII
195
LVIII
196
LIX
201
LXII
202
LXIII
203
LXIV
204
LXV
206

XI
35
XII
39
XIII
49
XIV
51
XV
52
XVI
56
XVII
62
XVIII
71
XIX
74
XX
79
XXI
83
XXII
86
XXIII
87
XXIV
88
XXV
91
XXVI
93
XXVII
97
XXVIII
101
XXIX
109
XXX
110
XXXII
112
XXXIII
118
XXXV
119
XXXVI
122
XXXVII
123
XXXVIII
129
XXXIX
133
XL
135
XLI
136
XLII
138
XLIII
142
XLIV
147
XLV
149
XLVI
154
XLVII
157
XLVIII
159
XLIX
162
L
163
LI
165
LII
171
LIII
177
LIV
181
LV
182
LXVI
210
LXVII
211
LXVIII
212
LXIX
214
LXX
219
LXXI
224
LXXII
233
LXXIII
237
LXXIV
240
LXXV
241
LXXVI
242
LXXVII
243
LXXVIII
247
LXXIX
248
LXXX
253
LXXXI
255
LXXXII
259
LXXXIII
260
LXXXIV
264
LXXXV
267
LXXXVI
270
LXXXVII
271
LXXXVIII
273
LXXXIX
274
XC
275
XCI
276
XCIII
278
XCIV
285
XCV
288
XCVI
291
XCVII
293
XCIX
297
C
299
CI
301
CII
305
CIII
311
CIV
313
CV
316
CVI
317
CVII
341
CVIII
349
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About the author (2000)

Panos M. Pardalos is one of the leading experts in global optimization and control theory. V. Yatsenko's research is connected with control of bilinear systems, nonlinear estimation, control of quantum systems, and globabl optimization problems. Both Pardalos and Yatsenko have authored numerous publications including books and well-known scientific journals.

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