A Quadratically Convergent Class of Modifications for Kovarik's Method
Esmaeili, H.
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 617-622 / Harvested from Project Euclid
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In this article, a single parametric class of modifications for Kovarik's method is proposed. It is proved that all methods in this class are quadratically convergent. Numerical comparison among methods of Kovarik, Petcu-Popa [5], and a special method in this class, chosen based on a specific value for the parameter, shows that Kovarik and Petcu-Popa's methods give almost similar convergence results. However, the special method converges faster and its iteration number is considerably lower than that of others. For Numerical experiments, there are used ten $n\times n$ test matrices with $n=5,10,20,50$, whose condition numbers vary in the interval [$2\,,\,8.1e146$].
Publié le : 2009-11-15
Classification:  Approximate Orthogonalization Method,  Quadratic Convergence,  65F20,  65F25 
@article{1257776237,
     author = {Esmaeili, H.},
     title = {A Quadratically Convergent Class of Modifications for Kovarik's Method},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 617-622},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257776237}
}

Esmaeili, H. A Quadratically Convergent Class of Modifications for Kovarik's Method. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  617-622. http://gdmltest.u-ga.fr/item/1257776237/