Call for Manuscripts: Fundamentals of Algorithms
SIAM is pleased to announce a new series, Fundamentals of Algorithms, and the first book in the series, Solving Nonlinear Equations with Newton's Method by C. T. Kelley.
The goal of the series is to produce a collection of short books, written by experts on numerical methods, that include an explanation of each method and a summary of theoretical background.
What distinguishes a book in this series is both its emphasis on explaining how to best choose a method, algorithm, or software package to solve a specific type of problem and its descriptions of when a given algorithm or method succeeds or fails.
The theory behind a numerical method will be presented at a level accessible to the practitioner. The books will contain guidance to help the reader troubleshoot solvers and interpret results. MATLAB is the preferred language for codes presented since it can be used across a wide variety of platforms and is an excellent environment for prototyping, testing, and problem solving.
The first book in the series, Solving Nonlinear Equations with Newton's Method by C. T. Kelley, is an 104-page user-oriented guide to using Newton's method to solve nonlinear equations. Through algorithms in pseudo-code, practical examples, and MATLAB codes, the author shows how the user can choose an appropriate Newton-type method to solve a nonlinear system. Treated are Newton, Newton-Krylov, and Broyden methods, their weaknesses and strengths, and their implementation. MATLAB codes for the solvers are listed in the book and available over the Web.
In launching this series SIAM hopes to publish guides to numerical algorithms that are readily accessible to practitioners, contain practical advice not readily found elsewhere, and are accompanied by understandable codes implementing the algorithms.
Possible topics for the series include, but are not limited to:
- Quadrature/numerical integration
- Random number generation
- Structured linear systems (Toeplitz, Hankel, Vandermonde...)
- Monte-Carlo algorithms for simulation
- Linear least squares problems
- Algebraic Riccati equations
- Stochastic differential equations
- Large, sparse eigenvalue problems
- Semidefinite optimization
- Fast Fourier transform
- Discrete ill-posed problems
- Multigrid methods
Nicholas J. Higham (Editor-in-Chief)
School of Mathematics
University of Manchester
Manchester, M13 9PL, UK
telephone: 0161 275-5822
fax: 0161 275-5819
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Philadelphia, PA 19104-2688
telephone: 215-382-9800 x369