A short survey on Kantorovich
Author:
Affiliation:
1. Ecole Polytechnique, Palaiseau, France
Publisher
Association for Computing Machinery (ACM)
Reference73 articles.
1. F. Alvarez, J. Bolte, and J. Munier. A unifying local convergence result for Newton's method in Riemannian manifolds. Found. Comput. Math., 8(2):197--226, 2008.
2. S. Amat, C. Bermúdez, S. Busquier, and S. Plaza. On a third-order Newton-type method free of bilinear operators. Numer. Linear Algebra Appl., 17(4):639--653, 2010.
3. I. K. Argyros. A new Kantorovich-type theorem for Newton's method. Appl. Math. (Warsaw), 26(2):151--157, 1999.
4. I. K. Argyros. A new semilocal convergence theorem for Newton's method in Banach space using hypotheses on the second Fréchet-derivative. J. Comput. Appl. Math., 130(1-2):369--373, 2001.
5. I. K. Argyros and D. González. Extending the applicability of Newton's method by improving a local result due to Dennis and Schnabel. S?!e MA J., 63:53--63, 2014.
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