A note on determinantal representation of a Schröder–König-like simultaneous method for finding polynomial zeros

摘要

Using Padé approximation, Sakurai, Torii and Sugiura derived in the paper (Sakurai et al., 1991) the generalized iterative method of order n+2 for finding all zeros of a polynomial, where n is the highest order of a polynomial derivative involved in the presented iterative formula. In this note we give the determinantal representation of this method and analyze procedures for its implementation and some computational aspects.