The book provides an overview and classification of the interrelations of various algorithms, as well as numerous examples to demonstrate code usage and the properties of the presented algorithms. Despite the wide availability of computer programs for matrix computations, it continues to be an active area of research and development. New applications, new algorithms, and improvements to old algorithms are constantly emerging.
- Presents the first book available on matrix algorithms implemented in real computer code- Provides algorithms covered in three parts, the mathematical development of the algorithm using a simple example, the code implementation, and then numerical examples using the code - Allows readers to gain a quick understanding of an algorithm by debugging or reading the source code- Includes downloadable codes on an accompanying companion website, [external URL] that can be used in other software development
Chapter 2 Matrix Decomposition by Non-orthogonal Transformation
Chapter 3 Matrix Decomposition by Orthogonal Transformation
Chapter 4 Direct Algorithms of Solution of Linear Equations
Chapter 5 Iterative Algorithms of Solution of Linear Equations
Chapter 6 Direct Algorithms of Unsymmetric Eigenvalue Problem
Chapter 7 Direct Algorithms of Symmetric Eigenvalue Problem
Chapter 8 Iterative Algorithms of Eigenvalue Problem
Chapter 9 Algorithms of Singular Value Problem
In 1989, Dr. Ong U. Routh studied computational mechanics and obtained a PhD degree in Tsinghua University, China. In 1991, he worked as a researcher in Osaka University, Japan, developing finite element software for the numerical simulation of sheet metal forming. Since 1999, he has conducted many industrial software projects for the analysis of structures and multi-bodies systems. His career interest is in the research and implementation of numerical algorithms that is directly used to solve engineering problems, such as finite element analysis, multi rigid bodies analysis, differential equations and matrix computations.