Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil (sE - A)
Frank L. Lewis · IEEE Transactions on Automatic Control · 1986
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.