Lecture Notes of Matrix Computations by Wen Wei Lin
Lecture Notes of Matrix Computations - Table of Contents
Part-I On the Numerical Solutions of Linear Systems
1. Introduction
2. Numerical methods for solving linear systems
3. Orthogonalization and least squares methods
4. Iterative Methods for Solving Large Linear Systems
Part-II On the Numerical Solutions of Eigenvalue Problems
5. The Unsymmetric Eigenvalue Problem
6. The Symmetric Eigenvalue problem
7. Lanczos Methods
8. Arnoldi Method
9. Jacobi-Davidson method
What You Will Learn in Lecture Notes of Matrix Computations
"Lecture Notes of Matrix Computations" by Wen-Wei Lin is a graduate-level academic text focused on "numerical linear algebra" and modern techniques used in scientific computing. Written in the form of lecture notes, the book is designed to help students and researchers understand how matrix algorithms work in practice, not just in theory. It assumes a solid background in basic linear algebra and calculus.
The book systematically covers key topics such as matrix norms, eigenvalue problems, linear systems, and matrix factorizations. A strong emphasis is placed on "numerical stability", "error analysis", and "conditioning", which are essential for understanding why some algorithms succeed while others fail in real computations. Advanced methods like "iterative solvers" and "Krylov subspace methods" are explained with mathematical clarity, making the material suitable for large-scale and sparse problems.
What makes these notes especially valuable is their balance between rigor and application. Rather than presenting algorithms as black boxes, Wen-Wei Lin explains the underlying ideas and convergence behavior in detail. As a result, the book serves as both a learning resource and a long-term reference for anyone working in applied mathematics, engineering, or scientific computing, especially those interested in reliable and efficient matrix computations.
Book Details & Specifications
Title:
Lecture Notes of Matrix Computations by Wen Wei Lin
Publisher:
National Tsing Hua University, Hsinchu, Taiwan
Year:
2010
Pages:
339
Type:
PDF
Language:
English
ISBN-10 #:
0126703507
ISBN-13 #:
978-0126703504
License:
University Educational Resource
Amazon:
Amazon
About the Author: Wen-Wei Lin
The author Wen-Wei Lin
is a respected mathematician known for his work in "numerical linear algebra", "matrix computations", and "scientific computing". He earned his PhD in applied mathematics in Germany and has served as a professor at leading universities in Taiwan and China, including National Tsing Hua University. He is the author of "Lecture Notes of Matrix Computations", written to support graduate students and researchers. His teaching and research emphasize "numerical stability", "error analysis", and efficient algorithms for large-scale problems, making his work influential in both theory and practical computation.
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