caa a22 4500 378875078 CHVBK 20180305123418.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0033 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0033 Parametrized Newton's Iteration for Computing an Eigenpair of a Real Symmetric Matrix in an Interval [Elektronische Daten] 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. 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. Newton's method nationallicence symmetric eigenvalue problems nationallicence Rayleigh quotient method nationallicence Datta Karabi Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA. Hong Yoopyo Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA. Lee Ran Baik Department of Mathematics, Honam University, Kwang-Ju, Korea. Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 517-535 1609-4840 3:4<517 2003 3 cmam https://doi.org/10.2478/cmam-2003-0033 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0033 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Datta Karabi Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA NATIONALLICENCE 700 1- Hong Yoopyo Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA NATIONALLICENCE 700 1- Lee Ran Baik Department of Mathematics, Honam University, Kwang-Ju, Korea NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 517-535 1609-4840 3:4<517 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter