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Numerical Linear Algebra Book · January 2008
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Sundarapandian Sundarapandia n Vaidyanathan Vel Tech - Technical University 571 PUBLICATIONS 9,279 CITATION CITATIONS S SEE PROFILE
Available from: from: Sundarapandian Vaidyanathan Retrieved on: 21 September 2016
Numerical Linear Algebra, By SUNDARAPANDIAN, V. || 978-81-203-3...
http://phindia.com/printversion.php?isbn=978-81-203-3436-6&title=Num...
NUMERICAL LINEAR ALGEBRA, By SUNDARAPANDIAN, V.
Price: Rs. 525 ISBN: 978‐81‐203‐3436‐6 Pages: 616 Binding: Paper Back Buy Now at www.phindia.com
DESCRIPTION This well‐organized text provides a clear analysis of the fundamental concepts of numerical linear algebra. It presents various numerical methods for the basic topics of linear algebra with a detailed discussion on theory, algorithms, and MATLAB implementa on. The book provides a review of matrix algebra and its important results in the opening chapter and examines these results in the subsequent chapters. With clear explanaons, the book analyzes diff erent kinds of numerical algorithms for solving linear algebra such as the eliminaon and iterave methods for linear systems, the condi on number of a matrix, singular value decomposi on (SVD) of a matrix, and linear least‐squares problem. In addion, it describes the Householder and Givens matrices and their applicaons, and the basic numerical methods for solving the matrix eigenvalue problem. Finally, the text reviews the numerical methods for systems and control. Key Features ? Includes numerous worked‐out examples to help students grasp the concepts easily. ? Provides chapter‐end exercises to enable students to check their comprehension of the topics discussed. ? Gives answers to exercises with hints at the end of the book. ? Uses MATLAB so ware for problem‐solving. Primarily designed as a textbook for postgraduate students of Mathema cs, this book would also serve as a handbook on matrix computaons for sciensts and engineers.
CONTENTS Preface 1. REVIEW OF MATRIX ALGEBRA 2. COMPUTER ARITHMETIC 3. VECTOR AND MATRIX NORMS 4. NUMERICAL STABILITY AND PROBLEM CONDITIONING 5. ELIMINATION METHODS FOR LINEAR SYSTEMS 6. ITERATIVE METHODS FOR LINEAR SYSTEMS 7. CONDITION NUMBER OF A MATRIX 8. SINGULAR VALUE DECOMPOSITION OF A MATRIX 9. LINEAR LEAST‐SQUARES PROBLEM 10. HOUSEHOLDER MATRICES AND THEIR APPLICATIONS 11. GIVENS MATRICES AND THEIR APPLICATIONS 12. NUMERICAL METHODS FOR MATRIX EIGENVALUE PROBLEM 13. NUMERICAL METHODS FOR SYSTEMS AND CONTROL Appendix Bibliography Answers with Hints to Problems Index
Numerical Linear Algebra, By SUNDARAPANDIAN, V. || 978-81-203-3...
http://phindia.com/printversion.php?isbn=978-81-203-3436-6&title=Num...
ABOUT THE AUTHOR(s) V. Sundarapandian, DSc, is Professor and Academic Convenor, Indian Instute of Informaon Technology and Management (IIITM‐K), Thiruvananthapuram, Kerala. He has more than 15 years of experience in teaching and research. Professor Sundarapandian is a life member of System Society of India and ISTE and has won numerous awards and honours for his contribu ons in nonlinear control systems. He has published many research papers in reputed internaonal journal s and has authored the book Numerical Linear Algebra (published by PHI Learning).
2008 / 616pp. / 17.8 x 23.5 cm / ISBN‐978‐81‐203‐3436‐6 / Rs.525
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