Complementarity and Variational Problems: State of the Art

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Michael C. Ferris, Jong-Shi Pang
SIAM, Jan 1, 1997 - Mathematics - 473 pages
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After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.
  

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Contents

On the Existence of Solutions to Complementarity
12
The Extended Linear Complementarity Problem and
22
Crash Techniques for LargeScale Complementarity
40
Noncooperative Games in Networks Stability
62
A Semismooth Newton Method for Variational
76
Minimizing and Stationary Sequences of Merit Functions
91
Smoothing of Mixed Complementarity Problems
105
On the PseudoLipschitzian Behavior of the Inverse of
117
Overlapping Block Methods for Obstacle Problems with
165
A Merit Function and a NewtonType Method
181
VII
194
A New Class of Merit Functions for the Nonlinear
204
The IllPosed Linear Complementarity Problem
226
Least Elements and the Minimal Rank Matrices
259
Linear Complementarity and Discounted Polystochastic
284
A Truncated Newton InteriorPoint Algorithm for
315

Steady Sliding and Linear Complementarity
132
A Nonsmooth Approach to Optimization Problems with
148
Superlinear Convergence of an InteriorPoint Method
345
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