Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil(sE - A)
- 1 September 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 31 (9) , 869-870
- https://doi.org/10.1109/tac.1986.1104420
Abstract
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.Keywords
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