BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-79-735
       ENTRY:: June 19, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Kronecker's canonical form and the QZ algorithm
        TYPE:: Technical Report
      AUTHOR:: Wilkinson, James Hardy
        DATE:: April 1979
       PAGES:: 28
    ABSTRACT:: In the QZ algorithm the eigenvalues of Ax = $\lambda$Bx are
               computed via a reduction to the form $\tilde{A}$x = $\lambda
               \tilde{B}$x where $\tilde{A}$ and $\tilde{B}$ are upper
               triangular. The eigenvalues are given by ${\lambda}_i$ =
               $a_{ii}$/$b_{ii}$. It is shown that when the pencil
               $\tilde{A}$ - $\lambda \tilde{B}$ is singular or nearly
               singular a value of ${\lambda}_i$ may have no significance
               even when $\tilde{a}_{ii}$ and $\tilde{b}_{ii}$ are of full
               size.
       NOTES:: [Adminitrivia V1/Prg/19950619]
         END:: STAN//CS-TR-79-735