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.
Table of Contents
1. On the mathematical work of M. J. D. Powell Martin Buhmann and Arieh Iserles; 2. Applications of radial basis function interpolants Ian Barrodale; 3. Multivariate approximation by piecewise polynomials Carl de Boor; 4. Nonlinear optimization Roger Fletcher; 5. Iterative methods for sparse linear systems Gene Golub; 6. Wavelets Charles Micchelli; 7. Software issues in optimization Jorge More; 8. The QD method for eigenvalue approximation Beresford Parlett; 9. Computations of the thin plate spline interpolant Mike Powell; 10. Interior point methods Mike Todd.