Synopses & Reviews
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.
Synopsis
Authorities in numerical analysis and optimisation combine to write an important volume in the area.
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. 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.