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Complementarity: Applications, Algorithms and Extensions (Hardcover, 2001 ed.)
Loot Price: R4,559
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Complementarity: Applications, Algorithms and Extensions (Hardcover, 2001 ed.)
Series: Applied Optimization, 50
Expected to ship within 12 - 17 working days
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This volume presents state-of-the-art complementarity applications,
algorithms, extensions and theory in the form of eighteen papers.
These at the International Conference on Com invited papers were
presented plementarity 99 (ICCP99) held in Madison, Wisconsin
during June 9-12, 1999 with support from the National Science
Foundation under Grant DMS-9970102. Complementarity is becoming
more widely used in a variety of appli cation areas. In this
volume, there are papers studying the impact of complementarity in
such diverse fields as deregulation of electricity mar kets,
engineering mechanics, optimal control and asset pricing. Further
more, application of complementarity and optimization ideas to
related problems in the burgeoning fields of machine learning and
data mining are also covered in a series of three articles. In
order to effectively process the complementarity problems that
arise in such applications, various algorithmic, theoretical and
computational extensions are covered in this volume. Nonsmooth
analysis has an im portant role to play in this area as can be seen
from articles using these tools to develop Newton and path
following methods for constrained nonlinear systems and
complementarity problems. Convergence issues are covered in the
context of active set methods, global algorithms for pseudomonotone
variational inequalities, successive convex relaxation and proximal
point algorithms. Theoretical contributions to the connectedness of
solution sets and constraint qualifications in the growing area of
mathematical programs with equilibrium constraints are also
presented. A relaxation approach is given for solving such
problems. Finally, computational issues related to preprocessing
mixed complementarity problems are addressed."
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