Computational Methods of Linear Algebra

Granville Sewell - Collection Pure and Applied Mathematics

268 pages, parution le 29/08/2005 (2^eme édition)

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Résumé

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.

L'auteur - Granville Sewell

Granville Sewell, PHD, is Visiting Professor of Mathematics at Texas A&M University and Professor of Mathematics at the University of Texas at El Paso. He is the principal developer of PDE2D, a general-purpose partial differential equation solver. Dr. Sewell has written three books and published more than fifty articles on numerical methods and applications.

Sommaire

Preface
Reference Material
Systems of Linear Equations
Linear Least-squares Problems
The Eigenvalue Problem
Linear Programming
The Fast Fourier Transform
Linear Algebra on Supercomputers
Appendix A: MATLAB Programs
Appendix B: Answers to Selected Exercises
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Granville Sewell
Collection	Pure and Applied Mathematics
Parution	29/08/2005
Édition	2^eme édition
Nb. de pages	268
Format	16 x 24
Couverture	Relié
Poids	517g
Intérieur	Noir et Blanc
EAN13	9780471735793
ISBN13	978-0-471-73579-3