New solving method of eigenvalue under parallel process

Author

Osano, M. ; Gotze, C.

Author_Institution

Dept. of Electr. Eng., Tokyo Univ., Japan

Volume

1

fYear

1993

fDate

19-21 Oct. 1993

Firstpage

418

Abstract

Presents a new method for finding real and complex eigenvalues and eigenvectors. We call this method the pole Gaussian method, since it was inspired by the Gauss-Seidel method. The idea is to use the approximate distance between the eigenvalue poles on the complex plane to iteratively calculate the eigenvalues and eigenvectors. A proof of convergence is presented in this paper, and it is shown that, in some cases, accurate solutions can be obtained by a small number of iterations. The dependence of the convergence speed on the initial values is also investigated.<>

Keywords

convergence of numerical methods; eigenvalues and eigenfunctions; iterative methods; poles and zeros; stability; Gauss-Seidel method; accurate solutions; complex plane; convergence proof; convergence speed; eigenvalue poles; eigenvectors; initial values; iterative calculation; parallel processing; pole Gaussian method; Cities and towns; Concurrent computing; Eigenvalues and eigenfunctions; Equations; Gaussian processes; Iterative algorithms; Linear systems; Newton method; Software; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on

Conference_Location

Beijing, China

Print_ISBN

0-7803-1233-3

Type

conf

DOI

10.1109/TENCON.1993.320016

Filename

320016