Computational Methods of Linear Algebra (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) | 
 enlarge | Author: Granville Sewell
Publisher: Wiley-Interscience
Category: Book
List Price: $111.50
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Rating:  1 reviews
Sales Rank: 1003155
Media: Hardcover
Edition: 2
Pages: 288
Number Of Items: 1
Shipping Weight (lbs): 1.2
Dimensions (in): 9.2 x 6.2 x 0.7
ISBN: 0471735795
Dewey Decimal Number: 512.5
EAN: 9780471735793
Publication Date: July 20, 2005
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Product Description
Learn to write programs to solve linear algebraic problems
The Second Edition of this popular textbook provides a highly accessible introduction to the numerical solution of linear algebraic problems. Readers gain a solid theoretical foundation for all the methods discussed in the text and learn to write FORTRAN90 and MATLAB(r) programs to solve problems. This new edition is enhanced with new material and pedagogical tools, reflecting the author's hands-on teaching experience, including:
* A new chapter covering modern supercomputing and parallel programming
* Fifty percent more examples and exercises that help clarify theory and demonstrate real-world applications
* MATLAB(r) versions of all the FORTRAN90 programs
* An appendix with answers to selected problems
The book starts with basic definitions and results from linear algebra that are used as a foundation for later chapters. The following four chapters present and analyze direct and iterative methods for the solution of linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. Next, a chapter is devoted to the fast Fourier transform, a topic not often covered by comparable texts. The final chapter features a practical introduction to writing computational linear algebra software to run on today's vector and parallel supercomputers.
Highlighted are double-precision FORTRAN90 subroutines that solve the problems presented in the text. The subroutines are carefully documented and readable, allowing students to follow the program logic from start to finish. MATLAB(r) versions of the codes are listed in an appendix. Machine-readable copies of the FORTRAN90 and MATLAB(r) codes can be downloaded from the text's accompanying Web site.
With its clear style and emphasis on problem solving, this is a superior textbook for upper-level undergraduates and graduate students.
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| Customer Reviews:
A Challenging, Highly Effective Book June 20, 2007
N. Austin (Rockford, MI USA)
I used this for a course taught by Prof. Sewell and found it stretched me to my limits, but did what it was meant to do. By the time we worked through it, I had a working knowledge of the various methods used to solve massive systems of equations while conserving computing time. It's strongly recommended that you have a prior course in Linear Algebra, and I can see why - I, as it happens, did not (though I've had several courses that touched on linear algebra) and I'm sure that made me struggle all the more... especially with many of the proofs (always my weakest link).
You'll also want to own/use either MATLAB or FORTRAN to work through the programs in this text. Don't skimp here - they're critical for developing a deep understanding of the algorithms discussed!
In all, it was a great book and a great class!
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