T. Zhanlav, R.-O. Mijiddorj, O. Chuluunbaatar, “A continuous analog of Newton's method”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 9,Pages <nobr>27

This article is cited in 1 paper

Numerical Calculations Models for Physical-Mechanical Systems

A continuous analog of Newton's method

T. Zhanlav^a, R.-O. Mijiddorj^b, O. Chuluunbaatar^c

^a Mongolian National University
^b Mongolian State University of Education, Ulaanbaatar, Mongolia
^c Joint Institute for Nuclear Research, Dubna, Moscow region

Abstract: The continuous analog of Newton's method for solving eigenvalues of the matrices is realized. Convergence of the iteration processes with an optimal iteration parameter is proved. The algorithm considered is applied also to a nonlinear eigenvalue problem.

Keywords: Newton's method, algebraic eigenvalue problems, numerical algorithms.

UDC: 519.614

Received: 20.05.2008
Revised: 29.05.2008