Approximation Theory and Optimization: Tributes to M. J. D. Powell (0521581907)

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Buhmann/Iserles, «Approximation Theory and Optimization: Tributes to MJD Powell»

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ISBN: 0521581907

Author: M.D.Buhmann, A.Iserles

Publisher: Cambridge University Press

Summary:

This volume is derived from invited talks given at a meeting celebrating Michael Powell's sixtieth birthday and focuses on innovative work in optimization and approximation theory. The individual papers, written by leading authorities in their subjects, are a mix of expository articles and surveys on new work. They have all been reviewed and edited to 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.

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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