Numerische Mathematik

, Volume 33, Issue 2, pp 157–172

On a class of Jacobi-like procedures for diagonalising arbitrary real matrices

  • K. Veselić

DOI: 10.1007/BF01399551

Cite this article as:
Veselić, K. Numer. Math. (1979) 33: 157. doi:10.1007/BF01399551


A new class of elementary matrices is presented which are convenient in Jacobi-like diagonalisation methods for arbitrary real matrices. It is shown that the presented transformations possess the normreducing property and that they produce an ultimate quadratic convergence even in the case of complex eigenvalues. Finally, a quadratically convergent Jacobi-like algorithm for real matrices with complex eigenvalues is presented.

Subject Classifications

AMS (MOS): 65F15CR: 5.14

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • K. Veselić
    • 1
  1. 1.Universität DortmundDortmund 50Germany (Fed. Rep.)