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Simplicial Global Optimization (Paperback, 2014 ed.)
Loot Price: R1,426
Discovery Miles 14 260
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Simplicial Global Optimization (Paperback, 2014 ed.)
Series: SpringerBriefs in Optimization
Expected to ship within 10 - 15 working days
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Total price: R1,446
Discovery Miles: 14 460
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Simplicial Global Optimization is centered on deterministic
covering methods partitioning feasible region by simplices. This
book looks into the advantages of simplicial partitioning in global
optimization through applications where the search space may be
significantly reduced while taking into account symmetries of the
objective function by setting linear inequality constraints that
are managed by initial partitioning. The authors provide an
extensive experimental investigation and illustrates the impact of
various bounds, types of subdivision, strategies of candidate
selection on the performance of algorithms. A comparison of various
Lipschitz bounds over simplices and an extension of Lipschitz
global optimization with-out the Lipschitz constant to the case of
simplicial partitioning is also depicted in this text. Applications
benefiting from simplicial partitioning are examined in detail such
as nonlinear least squares regression and pile placement
optimization in grillage-type foundations. Researchers and
engineers will benefit from simplicial partitioning algorithms such
as Lipschitz branch and bound, Lipschitz optimization without the
Lipschitz constant, heuristic partitioning presented. This book
will leave readers inspired to develop simplicial versions of other
algorithms for global optimization and even use other
non-rectangular partitions for special applications.
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