Computational Methods of Linear Algebra
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Beschreibung
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(r) programs to solve problems. This new edition isenhanced with new material and pedagogical tools, reflecting theauthor's hands-on teaching experience, including:
* A new chapter covering modern supercomputing and parallelprogramming
* Fifty percent more examples and exercises that help clarifytheory 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 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 that solvethe problems presented in the text. The subroutines are carefullydocumented and readable, allowing students to follow the programlogic from start to finish. MATLAB(r) versions of the codes arelisted in an appendix. Machine-readable copies of the FORTRAN90 andMATLAB(r) codes can be downloaded from the text's accompanying Website.
With its clear style and emphasis on problem solving, this is asuperior textbook for upper-level undergraduates and graduatestudents.
Autor*in
Granville Sewell
Themen in »Computational Methods of Linear Algebra«
Complex & Functional Analysis Komplexe Analysis u. Funktionalanalysis Linear Algebra Lineare Algebra Mathematics Mathematik Numerical Methods Numerische Mathematik Numerische Methoden
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"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)
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