Computational Methods of Linear Algebra
(Sprache: Englisch)
This book covers methods for the solution of linear systems (direct and iterative), linear least squares problems, eigenvalue problems, linear programming problems, and Fourier Transforms, and it includes a new chapter on linear algebra with supercomputers....
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This book covers methods for the solution of linear systems (direct and iterative), linear least squares problems, eigenvalue problems, linear programming problems, and Fourier Transforms, and it includes a new chapter on linear algebra with supercomputers. The theoretical foundations for all the methods are discussed in detail, but the text includes very readable, yet efficient, FORTRAN90 and Matlab routines that implement each method.
Klappentext zu „Computational Methods of Linear Algebra “
Learn to write programs to solve linear algebraic problemsThis 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 percentmore 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 problemsThe 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.
Inhaltsverzeichnis zu „Computational Methods of Linear Algebra “
1. Systems of Linear Equations.2. Linear Least-squares Problems.3. The Eigenvalue Problem.4. Linear Programming.5. The Fast Fourier Transform.6. Linear Algebra on Supercomputers.
Autoren-Porträt von 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 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. His employment history includes time with IMSL, Inc., (now Visual Numerics) and the University of Texas System Center for High Performance Computing.
Bibliographische Angaben
- Autor: Granville Sewell
- 2005, 2nd ed., 288 Seiten, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471735795
- ISBN-13: 9780471735793
Sprache:
Englisch
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