Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB (R) provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and 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 and then discussing associated applications to enhance readers' 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 (R) assignments that build a platform to enhance readers' 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 reference that they will continually consult.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Illustrationen
28 s/w Tabellen, 73 s/w Abbildungen, 3 farbige Abbildungen
28 Tables, black and white; 3 Illustrations, color; 73 Illustrations, black and white
Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-1-4200-9523-4 (9781420095234)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Rochester Institute of Technology, New York, USA
Autor*in
Rochester Institute of Technology, New York, USA
Rochester Institute of Technology, New York, USA
Matrices, Matrix Algebra, and Elementary Matrix Operations. Determinants, Matrix Inversion and Solutions to Systems of Linear Equations. Linear Vector Spaces. Eigenvalues and Eigenvectors. Matrix Polynomials and Functions of Square Matrices. Introduction to Optimization. Appendix A: The Laplace Transform. Appendix B: The z-Transform. Bibliography. Index.
