Listar Artículos Científicos WOS y SCOPUS por autor 

Listar Artículos Científicos WOS y SCOPUS por autor "Argyros, Ioannis K"

Mostrando ítems 21-40 de 106

    • Enlarging the convergence domain of secant-like methods for equations 

      Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Hilout, S; Magreñán, Á. Alberto (Taiwanese Journal of Mathematics, 04/2015)
      We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's ...

    • Expanding kantorovich’s theorem for solving generalized equations 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x) + Q(x) ϶ 0, (22.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ...

    • 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 ...

    • Expanding the applicability of the gauss-newton method for convex optimization under restricted convergence domains and majorant conditions 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      n this chapter we are concerned with the convex composite optimizations problem. This work is mainly motivated by the work in [17,23].We present a convergence analysis of Gauss-Newton method (defined by Algorithm (GNA) in ...

    • Expanding the applicability of the Secant method under weaker conditions 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Applied Mathematics and Computation, 09/2015)
      We present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on ...

    • Expanding the convergence domain for Chun-Stanica-Neta family of third order methods in banach spaces 

      Argyros, Ioannis K; Santhosh, George; Magreñán, Á. Alberto (Journal of the Korean Mathematical Society, 01/2015)
      We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica. and Neta. These ...

    • Extended convergence results for the Newton–Kantorovich iteration 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Journal of Computational and Applied Mathematics, 10/2015)
      We present new semilocal and local convergence results for the Newton–Kantorovich method. These new results extend the applicability of the Newton–Kantorovich method on approximate zeros by improving the convergence domain ...

    • Extended local convergence for some inexact methods with applications 

      Argyros, Ioannis K; Legaz, M. J.; Magreñán, Á. Alberto; Moreno, D.; Sicilia, Juan Antonio (Journal of Mathematical Chemistry, 05/2019)
      We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the ...

    • Extending the Applicability of Stirling's Method 

      Amorós, Cristina ; Argyros, Ioannis K; Magreñán, Á. Alberto; Regmi, Samundra; González-Crespo, Rubén ; Sicilia, Juan Antonio (Mathematics, 01/2020)
      Stirling's method is considered as an alternative to Newton's method when the latter fails to converge to a solution of a nonlinear equation. Both methods converge quadratically under similar convergence criteria and require ...

    • Extending the applicability of the local and semilocal convergence of Newton's method 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Applied Mathematics and Computation, 01/2017)
      We present a local as well a semilocal convergence analysis for Newton's method in a Banach space setting. Using the same Lipschitz constants as in earlier studies, we extend the applicability of Newton's method as follows: ...

    • 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 ...

    • Extending the convergence domain of the Secant and Moser method in Banach Space 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Journal of Computational and Applied Mathematics, 12/2015)
      We present a new semilocal convergence analysis for the Secant and the Moser method in order to approximate a solution of an equation in a Banach space setting. Using the method of recurrent relations and weaker sufficient ...

    • Extending the domain of starting points for Newton's method under conditions on the second derivative 

      Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Magreñán, Á. Alberto (Journal of Computational and Applied Mathematics, 10/2018)
      In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ...

    • Extending the kantorovich theory for solving equations 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Let X, Y be Banach spaces, D ⊂ X be convex, F : D ⊂ X → Y be a Fréchet differentiable operator. We shall determine a solution x of the equation F(x) = 0, Many problems from Applied Sciences can be solved finding the solutions ...

    • Extending the mesh independence for solving nonlinear equations using restricted domains 

      Argyros, Ioannis K; Sheth, Soham M.; Younis, Rami M.; Magreñán, Á. Alberto ; George, Santhosh (International Journal of Applied and Computational Mathematics, 12/2017)
      The mesh independence principle states that, if Newton’s method is used to solve an equation on Banach spaces as well as finite dimensional discretizations of that equation, then the behaviour of the discretized process ...

    • Gauss-Newton method 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we present the local convergence analysis of Gauss–Newton method using the idea of restricted convergence domains, which allows us to improve previous results. Finally, some special cases and a numerical ...

    • Gauss-Newton method for convex composite optimization 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we extend the solvability of convex composite optimization problems using Gauss–Newton method. We present the algorithm and study the regularity. Then we present the semilocal convergence study and finish ...

    • Gauss-Newton method for convex optimization 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      The goal in this chapter is to present a finer convergence analysis of Gauss–Newton method than in earlier works in order to expand the solvability of convex composite optimizations problems. The convergence of Gauss–Newton ...

    • Gauss-newton method with applications to convex optimization 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we will study the convex composite optimizations problem.

    • Generalized equations 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we present some developments for the local convergence of Newton's method. Some special cases and a numerical example illuminating the theoretical results are also presented.