Numerical Linear Algebra on High-Performance Computers (Software, Environments and Tools)
by: Jack J. Dongarra, Iain S. Duff, Danny C. Sorensen, Hank A. van der Vorst
Details
* Publisher: Society for Industrial Mathematics
* Number Of Pages: 360
* Publication Date: 1987-01-01
* ISBN-10 / ASIN: 0898714281
* ISBN-13 / EAN: 9780898714289
* Binding: Paperback
Description
This book presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers. It provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications. Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems. This book supercedes the SIAM publication Solving Linear Systems on Vector and Shared Memory Computers, which appeared in 1990. The new book includes a considerable amount of new material in addition to incorporating a substantial revision of existing text.
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Numerical Linear Algebra (Texts in Applied Mathematics)
by: Grégoire Allaire, Sidi Mahmoud Kaber
Details
* Publisher: Springer
* Number Of Pages: 276
* Publication Date: 2007-12-05
* ISBN-10 / ASIN: 0387341595
* ISBN-13 / EAN: 9780387341590
* Binding: Hardcover
Description
This book brings together linear algebra, numerical methods and an easy to use programming environment under Matlab (and Scilab). One of the key features of the book is the worked out examples and exercises at the end of each chapter. The reader is asked to do some numerical experiments in Matlab and then to prove the results theoretically.
The book is a combination and update of two earlier French books by the authors. It is appropriate for both undergraduate and beginning graduate courses in mathematics as well as for working scientists and engineers as a self-study tool and reference.
A solutions manual is available for instructors.
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics)
by: Philippe G. Ciarlet
Details
# Paperback: 452 pages
# Publisher: Cambridge University Press (August 25, 1989)
# Language: English
# ISBN-10: 0521339847
# ISBN-13: 978-0521339841
Description
Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.
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Numerical Linear Algebra and Applications
by: Biswa Nath Datta
Details
* Publisher: Brooks/Cole Pub Co
* Number Of Pages: 704
* Publication Date: 1995-01-30
* ISBN-10 / ASIN: 0534174663
* ISBN-13 / EAN: 9780534174668
Description
This class-tested text is appropriate for both undergraduate and beginning graduate courses, as well as for use by working scientists and engineers as a self-study tool and reference. A number of special, user-friendly features make it possible for readers to develop a firm grasp of the concepts of roundoff errors, stability, condition, and accuracy, as well as to develop an appreciation for the core algorithms, their usefulness, and implementations.
Book: http://ifile.it/9vbf31n/NLA_BDT.rar
Matlab code: http://ifile.it/haqjnpe/datta.zip
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Applied Numerical Linear Algebra
by: James W. Demmel
Details
* Publisher: SIAM
* Number Of Pages: 431
* Publication Date: 1997-08-01
* ISBN-10 / ASIN: 0898713897
* ISBN-13 / EAN: 9780898713893
* Binding: Paperback
Description
Designed for first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely used LAPACK and ScaLAPACK linear algebra libraries, draws on this experience to present state-of-the-art techniques for these problems, including recommending which algorithms to use in various practical situations. Algorithms are derived in a mathematically illuminating way, including condition numbers and error bounds. Direct and iterative algorithms, suitable for dense and sparse matrices, are discussed. Algorithm design for modern computer architectures, where moving data is often more expensive than arithmetic operations, is discussed in detail, using LAPACK as an illustration. There are many numerical examples throughout the text and in the problems at the ends of chapters, most of which are written in MATLAB and are freely available on the Web.
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