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CAIRO BOOKS's 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
With its clear style and emphasis on problem solving, this is a superior
textbook for upper-level undergraduates and graduate students.