Numerical Linear Algebra and Its Applications (English Version)

Author: Xiaoqing Jin, Yimin Wei
Publisher:
Publish Date: Not available
Features: This book is an English edition textbook for the undergraduate course "Numerical Algebra" in the Department of Mathematics, Information and Computing program. It is divided into nine chapters, covering the following topics: Introduction; Direct Methods for Solving Linear Systems; Perturbation and Error Analysis; Least Squares Problems; Classical Iterative Methods; Krylov Subspace Methods; Non-symmetric Eigenvalue Problems; Symmetric Eigenvalue Problems and Applications in Solving Ordinary Differential Equations. The book introduces the fundamental knowledge of this course in concise English, while also introducing internationally popular Krylov Subspace Iteration Methods and GMRES methods. Additionally, it incorporates the authors' new research findings, using Strang-type preconditioners to solve delay ordinary differential equations. This book can be used as a reference for comprehensive universities, science and engineering universities, or advanced normal schools in computational mathematics.