Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2008, Issue 9, Pages 27–37 (Mi vtpmk369)  
This article is cited in 1 scientific paper (total in 1 paper)

Numerical Calculations Models for Physical-Mechanical Systems

A continuous analog of Newton's method

T. Zhanlava, R.-O. Mijiddorjb, O. Chuluunbaatarc

a Mongolian National University
b Mongolian State University of Education, Ulaanbaatar, Mongolia
c Joint Institute for Nuclear Research, Dubna, Moscow region
Citations (1)
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.
Received: 20.05.2008
Revised: 29.05.2008
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
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