Abstract
Most problems related to a (complex) matrix A can be easily solved if the matrix is diagonalizable, as shown in previous chapters. For example, this is true in computing the power An, in solving a linear difference equation Xn = Axn−1 or a linear differential equation y′(t) = Ay(t). In this chapter, we discuss how to solve the same problems for a non-diagonalizable matrix A by introducing the Jordan canonical form of a square matrix.
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© 2004 Springer Science+Business Media New York
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Kwak, J.H., Hong, S. (2004). Jordan Canonical Forms. In: Linear Algebra. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8194-4_8
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DOI: https://doi.org/10.1007/978-0-8176-8194-4_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4294-5
Online ISBN: 978-0-8176-8194-4
eBook Packages: Springer Book Archive