Matrix Algorithms in MATLAB - 1st Edition - ISBN: 9780128038048, 9780128038697

Matrix Algorithms in MATLAB

1st Edition

Authors: Ong Routh
eBook ISBN: 9780128038697
Paperback ISBN: 9780128038048
Imprint: Academic Press
Published Date: 29th March 2016
Page Count: 478
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Description

Matrix Algorithms in MATLAB focuses on the MATLAB code implementations of matrix algorithms. The MATLAB codes presented in the book are tested with thousands of runs of MATLAB randomly generated matrices, and the notation in the book follows the MATLAB style to ensure a smooth transition from formulation to the code, with MATLAB codes discussed in this book kept to within 100 lines for the sake of clarity.

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.

Key Features

  • 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, www.matrixalgorithmsinmatlab.com, that can be used in other software development

Readership

Primary: Researchers working in numerical methods; Engineers who utilize matrix computations; Secondary: graduate students taking a course on matrix computations

Table of Contents

Chapter 1 Introduction 
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

Details

No. of pages:
478
Language:
English
Copyright:
© Academic Press 2016
Published:
Imprint:
Academic Press
eBook ISBN:
9780128038697
Paperback ISBN:
9780128038048

About the Author

Ong Routh

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.

Affiliations and Expertise

Senior Development Engineer, Chester Springs, Pennsylvania

Reviews

"After a brief mathematical exposure, the algorithm is presented through the use of real computer codes. This ensures a better understanding of how an algorithm works, than by only studying their pseudo-codes as happens in classical algorithmic books." --Zentralblatt MATH, Matrix Algorithms in MATLAB