Accession Number:

AD0668912

Title:

ON THE QUADRATIC CONVERGENCE OF A GENERALIZATION OF THE JACOBI METHOD TO ARBITRARY MATRICES.

Descriptive Note:

Technical rept.,

Corporate Author:

TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s):

Report Date:

1967-12-01

Pagination or Media Count:

41.0

Abstract:

A method of diagonalizing a general matrix is proved to be ultimately quadratically convergent for all normalizable matrices. The method is a slight modification of a method due to P. J. Eberlein, and it brings the general matrix into a normal one by a combination of unitary plane transformations and plane shears non-unitary. The method is a generalization of the Jacobi Method in that for the case of normal matrices it is equivalent to the method which is given by Goldstine and Horwitz. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE