Society for Industrial and Applied Mathematics/Mathematical Programming Society,
c2009
xii, 277 p. :
ill. ;
26 cm
MPS-SIAM series on optimization ;
8
Includes bibliographical references (p. 255-270) and index
Introduction -- Sampling and linear models -- Interpolating nonlinear models -- Regression nonlinear models -- Underdetermined interpolating models -- Ensuring well poisedness and suitable derivative-free models -- Directional direct-search methods -- Simplicial direct-search methods -- Line-search methods based on simplex derivatives -- Trust-region methods based on derivative-free models -- Trust-region interpolation-based methods -- Review of surrogate model management -- Review of constrained and other extensions to derivative-free optimization
0
The absence of derivatives, often combined with the presence of noise or lack of smoothness, is a major challenge for optimisation. This book explains how sampling and model techniques are used in derivative-free methods and how these methods are designed to efficiently and rigorously solve optimisation problems