2002 MatricesTheoryandApplications
- (Serre, 2002) ⇒ Denis Serre. (2002). “Matrices. Theory and Applications.” In: Grad. Texts in Math, 216.
Subject Headings: Nonnegative Matrix, Lp Norm, Eigenvalue Approximation, Matrix Factorization.
Notes
Cited By
Quotes
Abstract
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. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale Superieure de Lyon.
Front Matter Pages i-xv
Chapter Elementary Theory
Chapter Pages 15-39 Square Matrices
Chapter Pages 40-60 Matrices with Real or Complex Entries
Chapter Pages 61-79 Norms
Chapter Pages 80-96 Nonnegative Matrices
Chapter Pages 97-113 Matrices with Entries in a Principal Ideal Domain; Jordan Reduction
Chapter Pages 114-135 Exponential of a Matrix, Polar Decomposition, and Classical Groups
Chapter Pages 136-148 Matrix Factorizations http://link.springer.com/content/pdf/10.1007%2F0-387-22758-X_8.pdf
Chapter Pages 149-167 Iterative Methods for Linear Problems
Chapter Pages 168-194 Approximation of Eigenvalues
References
;
| Author | volume | Date Value | title | type | journal | titleUrl | doi | note | year | |
|---|---|---|---|---|---|---|---|---|---|---|
| 2002 MatricesTheoryandApplications | Denis Serre | Matrices. Theory and Applications | 2002 |