Jordan canonical form application to differential equations /
Jordan Canonical Form ( JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. We first develop JCF, including the concepts involved in it-eigenvalues, eigenvectors, and chains of g...
| Main Author: | |
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| Format: | Electronic |
| Language: | English |
| Published: |
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) :
Morgan & Claypool Publishers,
c2008.
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| Series: | Synthesis lectures on mathematics and statistics (Online) ;
#2. |
| Subjects: | |
| Online Access: | Abstract with links to full text |
Table of Contents:
- Jordan canonical form
- The diagonalizable case
- The general case
- Solving systems of linear differential equations
- Homogeneous systems with constant coefficients
- Homogeneous systems with constant coefficients
- Inhomogeneous systems with constant coefficients
- The matrix exponential
- Background results
- A.1. Bases, coordinates, and matrices
- A.2. Properties of the complex exponential
- B. Answers to odd-numbered exercises.