Approximation Theory and Optimization: Tributes to M. J. D. Powell

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Overview

Michael Powell is one of the world's foremost figures in numerical analysis. This volume is derived from invited talks given at a meeting celebrating his 60th birthday and, reflecting Pow ell's own achievements, focuses on innovative work in optimization and in approximation theory. The individual papers have been written by leading authorities and together form a coherent volume that represents the state of the art in an important discipline within mathematics, with highly relevant applications throughout science and engineering.
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Product Details

  • ISBN-13: 9780521118446
  • Publisher: Cambridge University Press
  • Publication date: 8/20/2009
  • Pages: 236
  • Product dimensions: 5.90 (w) x 9.00 (h) x 0.70 (d)

Table of Contents

Preface
Submitted Talks
M.J.D. Powell's contributions to numerical mathematics 1
A brief review of M.J.D. Powell's work in univariate and multivariate approximation theory 1
The contributions of Mike Powell to optimization 13
M.J.D. Powell's publications 19
MJDP-BCS industrial liaison: Applications to defence science 31
On the Meir/Sharma/Hall/Meyer analysis of the spline interpolation error 47
Asymptotically optimal approximation and numerical solutions of differential equations 59
On the convergence of derivative-free methods for unconstrained optimization 83
Least squares fitting to univariate data subject to restrictions on the signs of the second differences 109
A framework for interpolation and approximation on Riemannian manifolds 133
Dense factors of sparse matrices 145
Optimization environments and the NEOS Server 167
New versions of qd for products of bidiagonals 183
On adjusting parameters in homotopy methods for linear programming 201
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