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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2003

Parametrized Newton’s Iteration for Computing an Eigenpair of a Real Symmetric Matrix in an Interval

  • Karabi Datta , Yoopyo Hong and Ran Baik Lee

Abstract

A parameterized Newton’s method to guarantee convergence to an eigenpair of a real symmetric matrix in a designated interval has been developed. The method is parametric in nature and with appropriate choices of parameters, the classical methods such as Newton’s method and the Rayleigh quotient method can easily be recovered.

Received: 2002-10-9
Revised: 2003-10-16
Accepted: 2003-03-21
Published Online: 2003
Published in Print: 2003

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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