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) : Ruhe,Axel H.

Report Date : DEC 1967

Pagination or Media Count : 41

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)

Descriptors :   (*MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS)), TRANSCENDENTAL FUNCTIONS, INEQUALITIES, CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE