Algebraic eigenvalue problem

Author: J.H. Wilkinson (English)
Publisher:
Publish Date: 2001-11-01
Features: This book is a classic in computational mathematics. The author systematically discusses algebraic eigenvalue problems and related linear algebraic equations, as well as various methods for finding polynomial zeros, using perturbation theory and backward error analysis methods. The book provides a thorough analysis of the nature of these methods. The content of this book offers a rigorous theoretical foundation and powerful tools for studying algebraic eigenvalue problems and related issues. The book is divided into nine chapters. The first chapter introduces matrix theory, the second and third chapters present perturbation theory and backward rounding error analysis methods, the fourth chapter analyzes methods for solving linear algebraic equations, the fifth chapter discusses the eigenvalue problem for Hermite matrices, the sixth and seventh chapters explore how to transform general matrices into compressed matrices and the eigenvalue problems of compressed matrices, the eighth chapter discusses LR and QR algorithms, and the last chapter covers various iterative methods. This book can serve as a teaching reference for computational mathematics majors in higher education institutions, as well as a reference for computational mathematicians, engineering technicians, and related scientific computing personnel.