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M. A. Hernández

M. A. Hernández

D-Index & Metrics

Mathematics

D-Index
35
Citations
4998
World Ranking
2787
National Ranking
57

Overview

M. A. Hernández is affiliated with the University of La Rioja in Spain. Their research spans the fields of Mathematics and Physics and Astronomy, with a focus on subfields including Numerical Analysis, Nuclear and High Energy Physics, Computational Theory and Mathematics, Modeling and Simulation, and Mathematical Physics.

Their main topics of research explore Iterative Methods for Nonlinear Equations, Advanced Optimization Algorithms Research, Fractional Differential Equations Solutions, Matrix Theory and Algorithms, Dark Matter and Cosmic Phenomena, Numerical methods in inverse problems, and Particle physics theoretical and experimental studies.

Hernández's recent publications include:

  • Dark Matter Search Results from 4.2 Tonne−Years of Exposure of the LUX-ZEPLIN (LZ) Experiment, 2025, Physical Review Letters
  • Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes, 2020, Mathematics
  • First constraints on WIMP-nucleon effective field theory couplings in an extended energy region from LUX-ZEPLIN, 2024, Physical Review D
  • Two-neutrino double electron capture of 124Xe in the first LUX-ZEPLIN exposure, 2024, Journal of Physics G Nuclear and Particle Physics
  • A new concept of convergence for iterative methods: Restricted global convergence, 2020, Journal of Computational and Applied Mathematics

Frequent coauthors collaborating with Hernández include J.A. Ezquerro, Á. Alberto Magreñán, A. K. Al Musalhi, Tyler Anderson, and H. M. Araújo.

Key publication venues for Hernández encompass arXiv (Cornell University), Journal of Computational and Applied Mathematics, Physical Review Letters, Mathematics, and Mathematical Methods in the Applied Sciences.

The scientist has contributed to book publications through Frontiers in Mathematics, including works titled "Mild Differentiability Conditions for Newton's Method in Banach Spaces" (2020) and "Convexity in Newton's Method" (2025).

Best Publications

  • A family of Chebyshev-Halley type methods in Banach spaces

    J.M. Gutiérrez;M.A. Hernández

  • An acceleration of Newton's method: Super-Halley method

    J. M. Gutiérrez;M. A. Hernández

  • Recurrence Relations for the Super-Halley Method

    J.M. Gutiérrez;M.A. Hernández

  • Chebyshev's Approximation Algorithms and Applications

    M.A. Hernández

  • A modified Chebyshev’s iterative method with at least sixth order of convergence ☆

    S. Amat;M.A. Hernández;N. Romero

  • Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

    M. A. Hernández;M. A. Salanova

  • Secant-like methods for solving nonlinear integral equations of the Hammerstein type

    M. A. Hernández;M. J. Rubio;J. A. Ezquerro

  • New iterations of R -order four with reduced computational cost

    J. A. Ezquerro;M. A. Hernández

  • On the R-order of the Halley method

    J.A. Ezquerro;M.A. Hernández

  • Second-derivative-free variant of the Chebyshev method for nonlinear equations

    M. A. Hernández

  • An optimization of Chebyshev's method

    J. A. Ezquerro;M. A. Hernández

  • Generalized differentiability conditions for Newton's method

    J. A. Ezquerro;M. A. Hernández

  • Accessibility Of Solutions By Newton's Method

    José M. Gutiérrez;Miguel Ángel Hernández;M. A. Salanova

  • A uniparametric family of iterative processes for solving nondifferentiable equations

    M.A. Hernández;M.J. Rubio

  • Recurrence Relations for Chebyshev-Type Methods ⁄

    J. A. Ezquerro;M. A. Hernández

  • On Halley-type iterations with free second derivative

    J. A. Ezquerro;M. A. Hernández

  • On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations

    J. A. Ezquerro;M. Grau-Sánchez;A. Grau;M. A. Hernández

  • Semilocal convergence of the secant method under mild convergence conditions of differentiability

    M.A. Hernández;M.J. Rubio

  • The Newton method for operators with Hölder continuous first derivative

    M. A. Hernández

  • A family of chebyshev-halley type methods

    M. A. Hernández;M. A. Salanova

Frequent Co-Authors

Ioannis K. Argyros
Ioannis K. Argyros Cameron University

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