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The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical algorithms. This book presents the most comprehensive discussion to date of the use of these methods for computing eigenvalues and solving linear systems in both exact and floating point arithmetic.
The first book on parallel MATLAB and the first parallel computing book focused on the design, code, debug, and test techniques required to quickly produce well-performing parallel programs. It presents a hands-on approach with numerous example programs.
Intended mainly for use as a reference manual, this third edition encompasses all the improvements of the newest version of the PLTMG software package.
This book is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience.
Provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems.
This is the only book on spectral methods built around MATLAB programs. This hands-on introduction is built around 40 short and powerful MATLAB programs, which are all available online. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs.
This second edition of follows the basic premise of the first edition by discussing many of the key design issues for building search engines and emphasizing the important role that applied mathematics can play in improving information retrieval.
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