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Applied Mathematics Letters(1)
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)(1)
Mathematical and Computer Modelling(1)
Numerical Algorithms(1)
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scopus(4)
A modification of the classic conditions of Newton-Kantorovich for Newton's method
ArticleAbstract: We study the semilocal convergence of Newton's method in Banach spaces under a modification of the cPalabras claves:A priori error estimates, Hammerstein integral equation, Kantorovich's technique, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusConvergence of level-wise convolution differential estimators
Conference ObjectAbstract: Differentials estimation of discrete signals is almost mandatory in digital segmentation. In our prePalabras claves:Differential estimator, discrete differential operator, fast convolution, FFT, sparse differential operatorAutores:Daniel González, Esbelin H.A., Malgouyres R., Samir C.Fuentes:scopusOn the local convergence of Newton's method under generalized conditions of Kantorovich
ArticleAbstract: Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convePalabras claves:local convergence, Newton's method, Order of convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusUnified majorizing sequences for Traub-type multipoint iterative procedures
ArticleAbstract: We present a unified approach to generating majorizing sequences for multipoint iterative proceduresPalabras claves:Banach space, Divided difference, Freéchet derivative, Majorizing sequence, Multipoint iterative procedure, semilocal convergenceAutores:Argyros I.K., Daniel GonzálezFuentes:scopus