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

ISBN-13: 9780521581905 / Angielski / Twarda / 1997 / 236 str.

Martin D. Buhmann; Arieh Iserles

Opis

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.

Spis treści

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. Moré; 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.