Numerical algebra

Author: Tong Shun
Publisher:
Publish Date: 2006-08-01
Features: The book is divided into 5 chapters. After reviewing and supplementing the basic content of linear algebra in Chapter 1, it introduces common computational methods in numerical algebra, including Gaussian elimination for solving systems of linear algebraic equations, Cholesky decomposition (square root method), least squares method, and rounding error analysis of elimination methods; iterative methods for solving systems of linear algebraic equations, steepest descent method, and conjugate gradient method; various practical computational methods for solving algebraic eigenvalue problems: power method, inverse power method, Jacobi method, bisection method, and QR method. This book can be used as a textbook or teaching reference for undergraduate students in science and engineering disciplines, and can also be referenced by professionals engaged in scientific and engineering computing.