Numerische Mathematik

, Volume 58, Issue 1, pp 341–352

Convergence of the shifted QR algorithm on 3×3 normal matrices

  • Steve Batterson

DOI: 10.1007/BF01385629

Cite this article as:
Batterson, S. Numer. Math. (1990) 58: 341. doi:10.1007/BF01385629


This paper concerns the convergence properties of the shifted QR algorithm on 3×3 normal, Hessenberg matrices. The algorithm is viewed as an iteration on one dimensional subspaces. A class of matrices is characterized for which HQR2 is unable to approximate a solution.

Subject classifications

AMS(MOS): 65F15 CR: G1.3 

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Steve Batterson
    • 1
  1. 1.Department of MathematicsEmory UniversityAtlantaUSA

Personalised recommendations