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9781611976625 Academic Inspection Copy

Matrix Analysis and Computations

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Matrix Analysis and Computations introduces the basics of matrix analysis and presents representative methods and their corresponding theories in matrix computations. In this textbook, readers will find: The matrix theory necessary for direct and iterative methods for solving systems of linear equations. Systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods. Current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. Exercises at the end of each chapter for applying learned methods. This book is intended for graduate students, researchers, and engineers interested in matrix analysis and matrix computations. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.
Zhong-Zhi Bai is a full professor at the Academy of Mathematics and System Sciences at Chinese Academy of Sciences. His main research subjects are numerical linear and nonlinear algebra as well as parallel computations with applications. Dr. Bai is the editor of more than 15 top journals on numerical analysis and scientific computing. Since 2016, he has been named in the Web of Science Highly Cited Researchers (Clarivate Analytics) five times in a row. The Hermitian and skew-Hermitian splitting (HSS) iteration method and its convergence theory, which Dr. Bai established jointly with Gene H. Golub and Michael K. Ng in 2003, have been recognized as a milestone in matrix computations and as the most important scientific achievement in the last 20 years in the area of iterative methods for solving large sparse linear systems. Jian-Yu Pan is a full professor at East China Normal University. He is the author of more than 20 academic papers in areas such as numerical algebra, numerical optimization, and scientific computing.
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