Numerical Linear Algebra and Applications, Second Edition
Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.
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Each problem in this book is presented with an applied example in other subjects. Then different algorithms are expressed for solving them. For introduction each algorithm, first the ideas and primal principals of algorithm are discussed and then it is explained axactly. At the end the writer discusses about effectiveness, stability and providence in the storage of algorithms.The numerical examples clarify the algorithms so that the readers can use them correctly. Varied exercises at every section increase the students's skills in the numerical linear algebra. In this book, there are some MATLAB programs for some basical algorithms that help the students in coding for advanced programs. So the students by using Matlab and MATCOM can examine different algorithms for a problem and compare their effectiveness, stability and precision. This book represents the basic of numerical linear algebra algorithms and explains their advantages and disadvantages. It is a great refrence for all who study numerical linear algebra.
Mostafa Zahed Jahromi and Maryam Skafiyan
This book is written at an undergraduate level. One of the best features is the great number of worked examples.