Optimization and Control with Applications

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Liqun Qi, Kok Lay Teo, Xiao Qi Yang
Springer Science & Business Media, Mar 30, 2006 - Mathematics - 562 pages
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A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

 

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Contents

ON MINIMIZATION OF MAXMIN FUNCTIONS
3
Improvement Of Learning Algorithm Of Neural Network
4
Simulation Results
5
Conclusions
6
References
9
References
31
Wei Xirtg Q L Ztang Liu and Qiyi Wang 1 Introduction
36
Preliminaries
41
The BB Method for Nonquadratic Functions
244
Discussion
250
Optimization with Box Constraints
253
References
254
THE MODIFIED SUBGRAIDENT METHOD FOR EQUALITY CONSTRAINED
257
Introduction
258
Duality
259
Solving the Dual Problem
262

References
95
Strong Duality
101
References
113
References
125
References
137
References
153
HongGmm Chew ChengChew Lim and Robert E B0_q1ter
167
VARIATIONAL INEQUALITY AND EQUILIBRIUM 24
176
Ap pend ix
179
References
181
AN ANALYSIS OF THE BARZILAI AND BORWEIN GRADIENT METHOD
183
YluHong Dai LiZhz Liao and Durm Li
184
Case of Identical Eigenvalues
186
Properties of the Recurrence Relation 2 8
188
Case of Different Eigenvalues
194
Properties of the Recurrence Relation 4 11
197
Concluding Remarks
209
References
210
AN EXCHANGE ALGORITHM FOR MINIMIZING SUMMIN FUNCTIONS 213
212
Introduction
214
Statement of the Problem
215
Equivalence of the Two Problems
217
Minimality Conditions
218
An Exchange Algorithm
221
An 6Exchange Algorithm
222
An Application to One Clustering Problem
224
Conclusions
231
10
233
ON THE BARZILAIBORWEIN METHOD
235
Introduction
236
The BB Method for Quadratic Functions
238
References
269
References
289
References
302
References
325
AN APPROXIMATION APPROACH FOR LINEAR PROGRAMMING IN MEA
331
References
349
OPTIMAL CONTROL OF NONLINEAR SYSTEMS 353
352
DECOIVIPOSABLE GENERALIZED VECTOR VARIATIONAL INEQUALITIES E Allevi A Gnzidi and I V Konnov 1
357
References
367
UlJOI Introduction
369
References
389
References
405
115
414
References
420
Problem Formulations and Basic Facts Relative Monotonicity Type Properties Existence Results Existence Results in Banach Spaces
436
116
452
461
462
479
479
481
482
491
491
137
492
497
498
502
502
References
505
146
506
157
516
172
525
References
526
References
545
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