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

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

    Buhmann/Iserles, «Approximation Theory and Optimization: Tributes to MJD Powell»
    Cambridge University Press | ISBN 0521581907 | 1997-11-28 | djvu | 2,1 Mb | 234 pages







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