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Listar por tema "Frechet derivative"

Mostrando ítems 1-8 de 8

    • Expanding the aplicability of secant method with applications 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Bulletin of the Korean Mathematical Society, 05/2015)
      We present new sufficient convergence criteria for the convergence of the secant-method to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center Lipschitz instead of just ...

    • Extending the convergence domain of Newton's method for twice Frechet differentiable operators 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Analysis and Applications, 03/2016)
      We present a semi-local convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using center-Lipschitz condition on the first and the ...

    • Local convergence of a relaxed two-step Newton like method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto ; Orcos, Lara ; Sicilia, Juan Antonio (Journal of Mathematical Chemistry, 08/2017)
      We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...

    • Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces 

      Maroju, P; Magreñán, Á. Alberto; Sarría, Íñigo ; Kumar, Abhimanyu (Journal of Mathematical Chemistry, 01/2020)
      This paper deal with the study of local convergence of fourth and fifth order iterative method for solving nonlinear equations in Banach spaces. Only the premise that the first order Frechet derivative fulfills the Lipschitz ...

    • New improved convergence analysis for the secant method 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Mathematics and Computers in Simulation, 01/2016)
      We present a new convergence analysis, for the secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center-Lipschitz instead of just Lipschitz ...

    • New semilocal and local convergence analysis for the Secant method 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Applied Mathematics and Computation, 06/2015)
      We present a new convergence analysis, for the Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center-Lipschitz instead of just Lipschitz ...

    • Optimizing the applicability of a theorem by F. Potra for Newton-like methods 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Applied Mathematics and Computation, 09/2014)
      We present a new sufficient semilocal convergence conditions for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these ...

    • Secant-like methods for solving nonlinear models with applications to chemistry 

      Magreñán, Á. Alberto ; Argyros, Ioannis K; Orcos, Lara (Journal of Mathematical Chemistry, 2017)
      We present a local as well a semilocal convergence analysis of secant-like methods under g eneral conditions in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The new ...