Accession Number:

AD0692584

Title:

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

Descriptive Note:

Corporate Author:

LUND UNIV (SWEDEN) INST OF COMPUTER SCIENCES

Personal Author(s):

• Ruhe,Axel

Report Date:

1968-01-01

Pagination or Media Count:

23.0

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 the case of normal matrices it is equivalent to the method given by Goldstine and Horwitz. Author

Descriptors:

• (*MATRICES(MATHEMATICS)
• ALGORITHMS)
• TRANSFORMATIONS(MATHEMATICS)
• NUMERICAL ANALYSIS
• CONVERGENCE
• THEOREMS
• SWEDEN

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE