Approximation theory and optimization : tributes to M.J.D. Powell

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Approximation theory and optimization : tributes to M.J.D. Powell

edited by M.D. Buhmann, A. Iserles

Cambridge University Press, 1997

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"This volume comprises ten invited papers, presented at the Conference on Numerical Mathematics in Cambridge, on 27-30 July 1996" -- Pref

Description and Table of Contents

Description

Michael Powell is one of the world's foremost figures in numerical analysis. This volume, first published in 1997, is derived from invited talks given at a meeting celebrating his 60th birthday and, reflecting Powell's own achievements, focuses on innovative work in optimisation and in approximation theory. The individual papers have been written by leading authorities in their subjects and are a mix of expository articles and surveys. They have all been reviewed and edited to form a coherent volume for this important discipline within mathematics, with highly relevant applications throughout science and engineering.

Table of Contents

  • Preface
  • Submitted talks
  • 1. M. J. D. Powell's contributions to numerical mathematics M. D. Buhmann and R. Fletcher
  • 2. MJDP-BCS industrial liaison: applications to defence science I. Barrodale and C. Zala
  • 3. On the Meir/Sharma/Hall/Meyer analysis of the spline interpolation error C. de Boor
  • 4. Asymptotically optimal approximation and numerical solutions of differential equations M. D. Buhmann, C. A. Micchelli and A. Ron
  • 5. On the convergence of derivative-free methods for unconstrained optimization A. R. Conn, K. Scheinberg and Ph. L. Toint
  • 6. Least squares fitting to univariate data subject to restrictions on the signs of the second differences I. C. Demetriou and M. J. D. Powell
  • 7. A framework for interpolation and approximation on Riemannian manifolds N. Dyn, F. J. Narcowich and J. D. Ward
  • 8. Dense factors of sparse matrices R. Fletcher
  • 9. Optimization environments and the NEOS Server W. Gropp and J. J. More
  • 10. New versions of qd for products of bidiagonals B. N. Parlett
  • 11. On adjusting parameters in homotopy methods for linear programming M. J. Todd.

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