Matrices Theory and Applications /

• Main Author: Serre, Denis. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Graduate Texts in Mathematics, 216
• Subjects: Mathematics.; Matrix theory.; Topological Groups.; Operator theory.; Numerical analysis.; Linear and Multilinear Algebras, Matrix Theory.; Numerical Analysis.; Topological Groups, Lie Groups.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-7683-3

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this...

Table of Contents:

• Preface to the Second Edition
• Preface to the First Edition
• List of Symbols
• 1 Elementary Linear and Multilinear Algebra
• 2 What Are Matrices
• 3 Square Matrices
• 4 Tensor and Exterior Products
• 5 Matrices with Real or Complex Entries
• 6 Hermitian Matrices
• 7 Norms
• 8 Nonnegative Matrices
• 9 Matrices with Entries in a Principal Ideal Domain; Jordan Reduction
• 10 Exponential of a Matrix, Polar Decomposition, and Classical Groups
• 11 Matrix Factorizations and Their Applications
• 12 Iterative Methods for Linear Systems
• 13 Approximation of Eigenvalues
• References
• Index of Notation
• General Index
• Cited Names.