Advanced Linear Algebra for Engineers Using MATLAB
Sohail A. Dianat, Rochester Institute of Technology;
Eli Saber, Rochester Institute of Technology
CRC Press, Inc., 2009
ISBN: 9781420095234;
Language: English
Providing readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers Using MATLAB provides real-life problems that readers can use to model and solve engineering and scientific problems in the following fields: signal processing, communications, electromagnetics and social/health sciences.
Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book:
- Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications.
- Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems.
- Presents special matrices, linear vector spaces, and fundamental principles of orthogonality (using an appropriate blend of abstract and concrete examples), discussing associated applications to enhance visualization of presented concepts.
- Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition.
- Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester’s expansion and Cayley-Hamilton.
- Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation.
- Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques.
- Offers a rich selection of exercises and MATLAB assignments that build a platform to enhance understanding of the material.
Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable resource to reference.
