Mostrando 10 resultados de: 14
Filtros aplicados
Publisher
Applied Mathematics and Computation(3)
AIP Conference Proceedings(1)
Applied Mathematics Letters(1)
Commentationes Mathematicae Universitatis Carolinae(1)
Computational and Mathematical Methods(1)
Área temáticas
Análisis(9)
Álgebra(4)
Matemáticas(3)
Ciencias de la computación(2)
Principios generales de matemáticas(2)
Área de conocimiento
Optimización matemática(14)
Análisis numérico(7)
Espacio de Banach(2)
Matemáticas aplicadas(1)
Objetivos de Desarrollo Sostenible
ODS 9: Industria, innovación e infraestructura(13)
ODS 8: Trabajo decente y crecimiento económico(10)
ODS 4: Educación de calidad(9)
ODS 17: Alianzas para lograr los objetivos(7)
Origen
scopus(14)
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:scopusA semilocal convergence result for Newton's method under generalized conditions of Kantorovich
ArticleAbstract: From Kantorovich's theory we establish a general semilocal convergence result for Newton's method baPalabras claves:A priori error estimates, Conservative problem, Majorizing sequence, Newton's method, semilocal convergence, The Newton-Kantorovich theoremAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusA variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
ArticleAbstract: We study nonlinear integral equations of mixed Hammerstein type using Newton's method as follows. WePalabras claves:Bratu's equation, Hammerstein's equation, Kantorovich's theorem, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusHow to apply Newton's method to operators with unbounded second derivative
Conference ObjectAbstract: The problem of finding the roots of a nonlinear equation has a long history. Although some nonlinearPalabras claves:Kantorovich's conditions, majorizing sequences, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusExtending the applicability of Newton's method for a class of boundary value problems using the shooting method
ArticleAbstract: We use Newton's method to approximate locally unique solutions for a class of boundary value problemPalabras claves:boundary value problem, Lipschitz condition, Newton's method, Shooting methodAutores:Argyros I.K., Daniel González, Gutiérrez J.M., Johan CeballosFuentes:scopusExtending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces
ArticleAbstract: We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach spPalabras claves:A priori error estimates, Hammerstein integral equation, Majorizing sequence, Newton's method, semilocal convergence, The Newton-Kantorovich theoremAutores:Argyros I.K., Daniel GonzálezFuentes:scopusExtensions on a local convergence result by Dennis and Schnabel for Newton's method with applications
ArticleAbstract: The aim of this article is to extend the applicability of Newton's method involving k-Fréchet differPalabras claves:local of convergence, Newton's method, Order of convergenceAutores:Argyros I.K., Argyros M., Ceballos M., Daniel González, Johan CeballosFuentes:scopusMajorizing sequences for Newton's method from initial value problems
ArticleAbstract: The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton'sPalabras claves:Bratu's equation, Kantorovich's technique, Majorizing sequence, Newton's method, Order of convergence, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusMajorizing sequences for Newton's method under centred conditions for the derivative
ArticleAbstract: We present semi-local and local convergence results for Newton's method in order to approximate a loPalabras claves:Banach space, Fréchet derivative, generalized Lipschitz condition, Majorizing sequence, Newton's method, semi-local convergenceAutores:Argyros I.K., Daniel González, Magreñán A.A.Fuentes:scopusLocal convergence of Cauchy-type methods under hypotheses on the first derivative
ArticleAbstract: We present a local convergence analysis of Cauchy-type methods free of the second derivative using hPalabras claves:Cauchy's method, local convergence, Newton's methodAutores:Argyros I.K., Daniel GonzálezFuentes:scopus