BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-75-478 ENTRY:: August 23, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Ill-conditioned eigensystems and the computation of the Jordan canonical form. TYPE:: Technical Report AUTHOR:: Golub, Gene H. AUTHOR:: Wilkinson, James H. DATE:: February 1975 PAGES:: 38 ABSTRACT:: The solution of the complete eigenvalue problem for a non-normal matrix A presents severe practical difficulties when A is defective or close to a defective matrix. However in the presence of rounding errors one cannot even determine whether or not a matrix is defective. Several of the more stable methods for computing the Jordan canonical form are discussed together with the alternative approach of computing well-defined bases (usually orthogonal) of the relevant invariant subspaces. NOTES:: [Adminitrivia V1/Prg/19950823] END:: STAN//CS-TR-75-478