Error analysis of signal zeros from a related companion matrix eigenvalue problem

An error analysis of the so-called signal zeros of polynomials linked to ex ponentially damped signals is performed and error bounds axe derived. The a nalysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governe d by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well cond itioned are discussed. (C) 2001 Elsevier Science Ltd. All rights reserved.