Accession Number : AD0692584

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

Corporate Author : LUND UNIV (SWEDEN) INST OF COMPUTER SCIENCES

Personal Author(s) : Ruhe,Axel

Report Date : 1968

Pagination or Media Count : 23

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