Elements of Matrix Modeling and Computing with MATLAB / Edition 1

by Robert E. White

Overview

As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra. Encompassing a diverse mathematical core, Elements of Matrix Modeling and Computing with MATLAB examines a variety of applications and their modeling processes, showing you how to develop matrix models and solve algebraic systems. Emphasizing practical skills, it creates a bridge from problems with two and three variables to more realistic problems that have additional variables.

Elements of Matrix Modeling and Computing with MATLAB focuses on seven basic applications: circuits, trusses, mixing tanks, heat conduction, data modeling, motion of a mass, and image filters. These applications are developed from very simple to more complex models. To explain the processes, the book explores numerous topics in linear algebra, including complex numbers and functions, matrices, algebraic systems, curve fitting, elements of linear differential equations, transform methods, and tools of computation. For example, the author uses linearly independent vectors and subspaces to explain over- and under-determined systems, eigenvalues and eigenvectors to solve initial value problems, and discrete Fourier transforms to perform image filtering in the frequency domain. Although the primary focus is to cultivate calculation skills by hand, most chapters also include MATLAB to help with more complicated calculations.

Product Details

ISBN-13:	9781584886273
Publisher:	Taylor & Francis
Publication date:	09/12/2006
Edition description:	1ST
Pages:	402
Product dimensions:	6.12(w) x 9.19(h) x (d)

Table of Contents

List of Figures. List of Tables. Preface. Introduction. Vectors in the Plane. Vectors in Space. Ax = d: Unique Solution. Ax = d: Least Squares Solution. Ax = d: Multiple Solutions. Linear Initial Value Problems. Eigenvalues and Differential Equations. Image Processing in the Space Domain. Image Processing in the Frequency Domain. Appendix. Bibliography. Index.