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Learn to write programs to solve linear algebraic problems
The Second Edition of this popular textbook provides a highlyaccessible introduction to the numerical solution of linearalgebraic problems. Readers gain a solid theoretical foundation forall the methods discussed in the text and learn to write FORTRAN90and MATLAB® programs to solve problems. This new edition isenhanced with new material and pedagogical tools, reflecting theauthor′s hands–on teaching experience, including:
The book starts with basic definitions and results from linearalgebra that are used as a foundation for later chapters. Thefollowing four chapters present and analyze direct and iterativemethods for the solution of linear systems of equations, linearleast–squares problems, linear eigenvalue problems, and linearprogramming problems. Next, a chapter is devoted to the fastFourier transform, a topic not often covered by comparable texts.The final chapter features a practical introduction to writingcomputational linear algebra software to run on today′s vector andparallel supercomputers.
Highlighted are double–precision FORTRAN90 subroutines thatsolve the problems presented in the text. The subroutines arecarefully documented and readable, allowing students to follow theprogram logic from start to finish. MATLAB® versions of thecodes are listed in an appendix. Machine–readable copies of theFORTRAN90 and MATLAB® codes can be downloaded from the text′saccompanying Web site.
With its clear style and emphasis on problem solving, this is asuperior textbook for upper–level undergraduates and graduatestudents.
"This robust text is well worth an evaluation for anyone interestedin teaching such topics. If this book or a subset of its contentwere used, students would undoubtedly benefit from the tutelage itoffers." ( SIAM Review, Vol 50, Issue 4, 2008)
"The author′s presentation in excellent, providing motivation tothe student throughout...an excellent, extremely readableintroduction to computational linear algebra " (MAAReviews, December 28, 2005)
"The author′s presentation in excellent, providing motivation tothe student throughout...an excellent, extremely readableintroduction to computational linear algebra " (MAAReviews, December 28, 2005)
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