International Journal of Theoretical and Applied Mathematics

Volume 7, Issue 1, February 2021

  • Stability of a Regularized Newton Method with Two Potentials

    Boushra Abbas, Ramez Koudsieh

    Issue: Volume 7, Issue 1, February 2021
    Pages: 1-11
    Received: 14 February 2020
    Accepted: 30 November 2020
    Published: 22 January 2021
    Abstract: In a Hilbert space setting, we introduce dynamical systems, which are linked to Newton and Levenberg-Marquardt methods. They are intended to solve, by splitting methods, inclusions governed by structured monotone operators M = A + B, where A is a general maximal monotone operator, and B is monotone and locally Lipschitz continuous. Based on the Min... Show More
  • Establishments of Empiric Intervening Formulas Methods, Procedures and Mathematical Elementary Algorithms: Medical Applications

    Luis Alberto Escalona-Fernández

    Issue: Volume 7, Issue 1, February 2021
    Pages: 12-16
    Received: 11 December 2020
    Accepted: 18 December 2020
    Published: 9 February 2021
    Abstract: Background: updating methods, procedures and mathematical elementary algorithms, constitute a tool of work for the reliability of the results of any study, and in medical applications. Aims: confirming the behavior of the experimental intervening data the modelation, through the linear regression equations, according to the methods, procedures and ... Show More