Synopses & Reviews
In this collection of informative essays, twenty-three leading experts provide a comprehensive review of the current state of the art of numerical analysis. Each article addresses a specialized subject, but together they present the main developments of the last decade in the design of numerical algorithms and their mathematical analysis. The contributors lead the reader from an elementary understanding of their subject to the frontiers of research in numerical analysis, making this invaluable work accessible to a range of readers and researchers. Also included are descriptions of important new methods for computer users, expositions of the current state of knowledge for students, new views of current questions for the consideration of researchers, and many references for further study.
Table of Contents
Selections from The State of the Art in Numerical Analysis:
1. Eigenvalue Problems, J.H. Wilkinson
2. Numerical Linear Algebra in Statistical Computing, N.J. Higham and G.W. Stewart
3. Sparse Matrices, J.K. Reid
4. Multivariate Approximation, C. de Boor
5. Data Approximation by Splines in One and Two Independent Variables, M. Cox
6. Methods for Best Approximation and Regression Problems, G.A. Watson
7. Branch Cuts for Complex Elementary Functions, W. Kahan
8. Recent Developments in Linear and Quadratic Programming, R. Fletcher
9. Solving Systems of Non-Linear Equations by Tensor Method, R.B. Schnabel and P.D. Frank
10. Numerical Methods for Bifurcation Problems, A.D. Jepson and A. Spence