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On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix
Timisoara, Romania September 26-September 29
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.59Eighth International Symposium on Sym ...
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Romulus Militaru, "On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix," Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on, pp. 175-180, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006.
 
 
BibTex
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@article{ 10.1109/SYNASC.2006.59,
author = {Romulus Militaru},
title = {On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix},
journal ={Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on},
volume = {0},
year = {2006},
isbn = {0-7695-2740-X},
pages = {175-180},
doi = {http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.59},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on
TI - On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix
SN - 0-7695-2740-X
SP175
EP180
A1 - Romulus Militaru,
PY - 2006
KW - null
VL - 0
JA - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on
ER -
 
Romulus Militaru, University of Craiova, Romania
The present paper studies the numerical computation of the extreme eigenvalues of a n x n real symmetric matrix A by the means of the Newton?s approximate method for the characteristic polynomial P_A (\lambda) An iterative algorithm is also presented,involving the computation of a trace of an appropriate matrix, instead of using the evaluation of P_A (\lambda) and its derivative. Numerical examples solved with this algorithm are to be found within as well.
Citation:
Romulus Militaru, "On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix," synasc, pp.175-180, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006
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