BIB-VERSION:: CS-TR-v2.0 ID:: STAN//NA-M-80-03 ENTRY:: January 28, 1996 ORGANIZATION:: Stanford University, Department of Computer Science, Numerical Analysis Project TITLE:: Computation of zeros of linear multivariable systems TYPE:: Manuscript AUTHOR:: Emami-Naeini, Abbas AUTHOR:: Van Dooren, Paul M. DATE:: July 1980 PAGES:: 46 ABSTRACT:: Several algorithms have been proposed in the literature for the computation of the zeros of a linear system described by a state-space model {$\lambda$I - A,B,C,D}. In this report we discuss the numerical properties of a new algorithm and compare it with some earlier techniques of computing zeros. The new approach to shown to handle both nonsquare and/or degenerate systems without difficulties whereas earlier methods would either fail or would require special treatment fo r these cases. The method is also shown to be backward stable in a rigorous sense. Several numerical examples are given in order to compare speed and accuracy of the algorithm with its nearest competitors. NOTES:: [Adminitrivia V1/Prg/19960128] END:: STAN//NA-M-80-03