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