Stable matrices, the Cayley transform, and convergent matrices
The main result is that a square matrix D is convergent (limn→∞Dn=0) if and only if it is the Cayley transform CA=(I−A)−1(I+A) of a stable matrix A, where a stable matrix is one whose characteristic values all have negative real parts. In passing, the concept of Cayley transform is generalized, and...
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Main Author: | Tyler Haynes |
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Format: | Article |
Language: | English |
Published: |
Wiley
1991-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171291000078 |
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