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

Verfasser / Beitragende:
Datta, Karabi; Hong, Yoopyo; Lee, Ran Baik
Ort, Verlag, Jahr:
2003
Enthalten in:
Computational Methods in Applied Mathematics, 3/4(2003), 517-535
Format:
Artikel (online)
ID: 378875078
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024 7 0 |a 10.2478/cmam-2003-0033  |2 doi 
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245 0 0 |a Parametrized Newton's Iteration for Computing an Eigenpair of a Real Symmetric Matrix in an Interval  |h [Elektronische Daten] 
520 3 |a 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. 
540 |a 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. 
690 7 |a Newton's method  |2 nationallicence 
690 7 |a symmetric eigenvalue problems  |2 nationallicence 
690 7 |a Rayleigh quotient method  |2 nationallicence 
700 1 |a Datta  |D Karabi  |u Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA. 
700 1 |a Hong  |D Yoopyo  |u Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA. 
700 1 |a Lee  |D Ran Baik  |u Department of Mathematics, Honam University, Kwang-Ju, Korea. 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/4(2003), 517-535  |x 1609-4840  |q 3:4<517  |1 2003  |2 3  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Datta  |D Karabi  |u Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hong  |D Yoopyo  |u Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lee  |D Ran Baik  |u Department of Mathematics, Honam University, Kwang-Ju, Korea 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/4(2003), 517-535  |x 1609-4840  |q 3:4<517  |1 2003  |2 3  |o cmam 
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