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Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil (sE - A)

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1 Author(s)
F. Lewis ; Georgia Institute of Technology, Atlanta, GA, USA

Some results for matrix pencils are extended to the singular case (sE - A) . A singular Leverrier's relation, Cayley-Hamilton theorem, and Newton's formula are given. A finite-series expansion for (sE - A)^{-1} is given in terms of the generalized Tschirnhausen polynomials.

Published in:

IEEE Transactions on Automatic Control  (Volume:31 ,  Issue: 9 )