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ORCIDMiguel Ángel Hernández-Verón
M. A. Hernández-Verón – Miguel Ángel Hernández 0001
Person information
- affiliation: University of La Rioja, Department of Mathematics and Computer Science, Spain
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Journal Articles
- 2024
[j95]Miguel Ángel Hernández-Verón, Sukhjit Singh, Eulalia Martínez, Nisha Yadav:
A fixed-Point Type Result for some non-differentiable Fredholm integral equations. Math. Model. Anal. 29(1): 161-177 (2024)- 2023
- [j94]Sonia Yadav, Sukhjit Singh, M. A. Hernández-Verón, Eulalia Martínez
, Ajay Kumar, R. P. Badoni:
About the existence and uniqueness of solutions for some second-order nonlinear BVPs. Appl. Math. Comput. 457: 128218 (2023) - [j93]J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán, Alejandro Moysi:
A significant improvement of a family of secant-type methods. J. Comput. Appl. Math. 424: 115002 (2023) - [j92]M. A. Hernández-Verón, Nisha Yadav, Eulalia Martínez, Sukhjit Singh:
Kurchatov-type methods for non-differentiable Hammerstein-type integral equations. Numer. Algorithms 93(1): 131-155 (2023) - 2022
- [j91]M. A. Hernández-Verón, Eulalia Martínez, Sukhjit Singh:
A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel. J. Comput. Appl. Math. 404: 113115 (2022) - [j90]M. A. Hernández-Verón, Eulalia Martínez:
Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials. J. Comput. Appl. Math. 404: 113391 (2022) - [j89]J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán:
On global convergence for an efficient third-order iterative process. J. Comput. Appl. Math. 404: 113417 (2022) - [j88]M. A. Hernández-Verón, Natalia Romero Álvarez:
An efficient predictor-corrector iterative scheme for solving Wiener-Hopf problems. J. Comput. Appl. Math. 404: 113554 (2022) - [j87]J. A. Ezquerro, M. A. Hernández-Verón:
A new concept of convergence for iterative methods: Restricted global convergence. J. Comput. Appl. Math. 405: 113051 (2022) - [j86]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Solving Wiener-Hopf problems via an efficient iterative scheme. J. Comput. Appl. Math. 405: 113083 (2022) - [j85]Miguel Ángel Hernández-Verón, Sonia Yadav, Ángel Alberto Magreñán, Eulalia Martínez, Sukhjit Singh:
An Algorithm Derivative-Free to Improve the Steffensen-Type Methods. Symmetry 14(1): 4 (2022) - 2021
- [j84]M. A. Hernández-Verón, Sonia Yadav, Eulalia Martínez, Sukhjit Singh:
Solving nonlinear integral equations with non-separable kernel via a high-order iterative process. Appl. Math. Comput. 409: 126385 (2021) - [j83]José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Ángel Alberto Magreñán:
On an efficient modification of the Chebyshev method. Comput. Math. Methods 3(6) (2021) - [j82]Miguel Ángel Hernández-Verón, Eulalia Martínez, Sukhjit Singh:
On the Chandrasekhar integral equation. Comput. Math. Methods 3(6) (2021) - [j81]José M. Gutiérrez, Miguel Ángel Hernández-Verón:
An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind. Symmetry 13(10): 1957 (2021) - 2020
- [j80]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez:
On the local and semilocal convergence of a parameterized multi-step Newton method. J. Comput. Appl. Math. 376: 112843 (2020) - 2019
- [j79]J. A. Ezquerro, M. A. Hernández-Verón:
Construction of simple majorizing sequences for iterative methods. Appl. Math. Lett. 98: 149-156 (2019) - [j78]J. A. Ezquerro, M. A. Hernández-Verón:
Auxiliary point on the semilocal convergence of Newton's method. J. Comput. Appl. Math. 354: 198-212 (2019) - [j77]José M. Gutiérrez, M. A. Hernández-Verón:
An acceleration of the continuous Newton's method. J. Comput. Appl. Math. 354: 213-220 (2019) - [j76]M. A. Hernández-Verón, Ángel Alberto Magreñán, M. Jóse Rubio:
Dynamics and local convergence of a family of derivative-free iterative processes. J. Comput. Appl. Math. 354: 414-430 (2019) - [j75]J. A. Ezquerro, M. A. Hernández-Verón:
Nonlinear Fredholm integral equations and majorant functions. Numer. Algorithms 82(4): 1303-1323 (2019) - 2018
- [j74]J. A. Ezquerro, M. A. Hernández-Verón:
The majorant principle applied to Hammerstein integral equations. Appl. Math. Lett. 75: 50-58 (2018) - [j73]J. A. Ezquerro, M. A. Hernández-Verón:
Domains of global convergence for Newton's method from auxiliary points. Appl. Math. Lett. 85: 48-56 (2018) - [j72]M. A. Hernández-Verón, Natalia Romero Álvarez:
Existence, localization and approximation of solution of symmetric algebraic Riccati equations. Comput. Math. Appl. 76(1): 187-203 (2018) - [j71]M. A. Hernández-Verón, Eulalia Martínez:
Improving the accessibility of Steffensen's method by decomposition of operators. J. Comput. Appl. Math. 330: 536-552 (2018) - [j70]J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán:
Starting points for Newton's method under a center Lipschitz condition for the second derivative. J. Comput. Appl. Math. 330: 721-731 (2018) - [j69]Ioannis K. Argyros, J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán:
Extending the domain of starting points for Newton's method under conditions on the second derivative. J. Comput. Appl. Math. 340: 1-10 (2018) - [j68]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez:
On the local convergence study for an efficient k-step iterative method. J. Comput. Appl. Math. 343: 753-761 (2018) - [j67]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón:
On two high-order families of frozen Newton-type methods. Numer. Linear Algebra Appl. 25(1) (2018) - 2017
- [j66]J. A. Ezquerro, M. A. Hernández-Verón:
A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations. Adv. Comput. Math. 43(5): 1103-1129 (2017) - [j65]Sergio Amat, Ioannis K. Argyros, Miguel Ángel Hernández, Natalia Romero Álvarez:
Expanding the Applicability of Some High Order Househölder-Like Methods. Algorithms 10(2): 64 (2017) - [j64]José Antonio Ezquerro, Miguel Ángel Hernández-Verón:
On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich's Technique. Algorithms 10(3): 89 (2017) - [j63]M. A. Hernández-Verón, M. Jóse Rubio:
On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators. Appl. Math. Comput. 304: 1-9 (2017) - [j62]Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón:
On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences. Comput. Methods Appl. Math. 17(2): 187 (2017) - [j61]Ioannis K. Argyros, M. A. Hernández-Verón, M. Jóse Rubio:
Convergence of Steffensen's method for non-differentiable operators. Numer. Algorithms 75(1): 229-244 (2017) - [j60]M. A. Hernández-Verón, Eulalia Martínez, Carles Teruel:
Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems. Numer. Algorithms 76(2): 309-331 (2017) - 2016
- [j59]M. A. Hernández-Verón, M. Jóse Rubio:
On the ball of convergence of secant-like methods for non-differentiable operators. Appl. Math. Comput. 273: 506-512 (2016) - [j58]J. A. Ezquerro, M. A. Hernández-Verón:
Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative. J. Complex. 33: 89-106 (2016) - [j57]Sergio Amat, Sonia Busquier, J. A. Ezquerro, M. A. Hernández-Verón:
A Steffensen type method of two steps in Banach spaces with applications. J. Comput. Appl. Math. 291: 317-331 (2016) - [j56]Sergio Amat, Concepción Bermúdez, M. A. Hernández-Verón, Eulalia Martínez:
On an efficient k-step iterative method for nonlinear equations. J. Comput. Appl. Math. 302: 258-271 (2016) - 2015
- [j55]José Antonio Ezquerro, Miguel Ángel Hernández-Verón:
On the Accessibility of Newton's Method under a Hölder Condition on the First Derivative. Algorithms 8(3): 514-528 (2015) - [j54]M. A. Hernández-Verón, Natalia Romero Álvarez:
On the Local Convergence of a Third Order Family of Iterative Processes. Algorithms 8(4): 1121-1128 (2015) - [j53]Alicia Cordero, José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Juan R. Torregrosa:
On the local convergence of a fifth-order iterative method in Banach spaces. Appl. Math. Comput. 251: 396-403 (2015) - [j52]José Antonio Ezquerro, M. A. Hernández-Verón, A. I. Velasco:
An analysis of the semilocal convergence for secant-like methods. Appl. Math. Comput. 266: 883-892 (2015) - [j51]José Antonio Ezquerro, Miguel Ángel Hernández-Verón:
How to improve the domain of parameters for Newton's method. Appl. Math. Lett. 48: 91-101 (2015) - [j50]José Antonio Ezquerro, Miguel Ángel Hernández-Verón:
Center conditions on high order derivatives in the semilocal convergence of Newton's method. J. Complex. 31(2): 277-292 (2015) - [j49]Alicia Cordero, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, Juan R. Torregrosa:
Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces. J. Comput. Appl. Math. 273: 205-213 (2015) - [j48]Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez:
Directional Chebyshev-type methods for solving equations. Math. Comput. 84(292): 815-830 (2015) - [j47]M. A. Hernández-Verón, Eulalia Martínez:
On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions. Numer. Algorithms 70(2): 377-392 (2015) - [j46]J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera:
A family of iterative methods that uses divided differences of first and second orders. Numer. Algorithms 70(3): 571-589 (2015) - [j45]Sergio Amat, J. A. Ezquerro, M. A. Hernández-Verón:
On a new family of high-order iterative methods for the matrix pth root. Numer. Linear Algebra Appl. 22(4): 585-595 (2015) - 2014
- [j44]Sergio Amat, Miguel Ángel Hernández-Verón, M. Jóse Rubio:
Improving the applicability of the secant method to solve nonlinear systems of equations. Appl. Math. Comput. 247: 741-752 (2014) - [j43]José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández-Verón:
A semilocal convergence result for Newton's method under generalized conditions of Kantorovich. J. Complex. 30(3): 309-324 (2014) - [j42]J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. Jóse Rubio, A. I. Velasco:
An hybrid method that improves the accessibility of Steffensen's method. Numer. Algorithms 66(2): 241-267 (2014) - [j41]Sergio Amat, José Antonio Ezquerro, Miguel Ángel Hernández-Verón:
Approximation of inverse operators by a new family of high-order iterative methods. Numer. Linear Algebra Appl. 21(5): 629-644 (2014) - [j40]Sergio Amat, Miguel Ángel Hernández, Natalia Romero Álvarez:
On a family of high-order iterative methods under gamma conditions with applications in denoising. Numerische Mathematik 127(2): 201-221 (2014) - 2013
- [j39]J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón:
On the local convergence of Newton's method under generalized conditions of Kantorovich. Appl. Math. Lett. 26(5): 566-570 (2013) - [j38]J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco:
On Steffensen's method on Banach spaces. J. Comput. Appl. Math. 249: 9-23 (2013) - [j37]J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón:
A modification of the classic conditions of Newton-Kantorovich for Newton's method. Math. Comput. Model. 57(3-4): 584-594 (2013) - [j36]José Antonio Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón:
On the efficiency of two variants of Kurchatov's method for solving nonlinear systems. Numer. Algorithms 64(4): 685-698 (2013) - 2012
- [j35]J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón:
A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type. Appl. Math. Comput. 218(18): 9536-9546 (2012) - [j34]J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco:
Improving the domain of starting points for secant-like methods. Appl. Math. Comput. 219(8): 3677-3692 (2012) - [j33]J. A. Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera:
Analysing the efficiency of some modifications of the secant method. Comput. Math. Appl. 64(6): 2066-2073 (2012) - [j32]J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón:
Solving non-differentiable equations by a new one-point iterative method with memory. J. Complex. 28(1): 48-58 (2012) - [j31]J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón:
Majorizing sequences for Newton's method from initial value problems. J. Comput. Appl. Math. 236(9): 2246-2258 (2012) - 2011
- [j30]Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout:
On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Comput. Appl. Math. 235(10): 3195-3206 (2011) - [j29]J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Solving nonlinear integral equations of Fredholm type with high order iterative methods. J. Comput. Appl. Math. 236(6): 1449-1463 (2011) - [j28]J. A. Ezquerro, Miquel Grau-Sánchez, Àngela Grau, Miguel Ángel Hernández-Verón, Miquel Noguera, Natalia Romero Álvarez:
On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations. J. Optim. Theory Appl. 151(1): 163-174 (2011) - 2010
- [j27]J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Variants of a classic Traub's result. Comput. Math. Appl. 60(11): 2899-2908 (2010) - [j26]José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Dynamics of a new family of iterative processes for quadratic polynomials. J. Comput. Appl. Math. 233(10): 2688-2695 (2010) - [j25]J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
An extension of Gander's result for quadratic equations. J. Comput. Appl. Math. 234(4): 960-971 (2010) - 2009
- [j24]J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Newton-type methods of high order and domains of semilocal and global convergence. Appl. Math. Comput. 214(1): 142-154 (2009) - [j23]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Toward a unified theory for third R-order iterative methods for operators with unbounded second derivative. Appl. Math. Comput. 215(6): 2248-2261 (2009) - [j22]J. A. Ezquerro, Miguel Ángel Hernández-Verón:
An optimization of Chebyshev's method. J. Complex. 25(4): 343-361 (2009) - [j21]J. A. Ezquerro, Miguel Ángel Hernández-Verón:
An improvement of the region of accessibility of Chebyshev's method from Newton's method. Math. Comput. 78(267): 1613-1627 (2009) - 2008
- [j20]Sergio Amat, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
A modified Chebyshev's iterative method with at least sixth order of convergence. Appl. Math. Comput. 206(1): 164-174 (2008) - [j19]José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
A note on a modification of Moser's method. J. Complex. 24(2): 185-197 (2008) - [j18]José Antonio Ezquerro, Miguel Ángel Hernández:
The Ulm method under mild differentiability conditions. Numerische Mathematik 109(2): 193-207 (2008) - 2007
- [j17]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Application of iterative processes of R-order at least three to operators with unbounded second derivative. Appl. Math. Comput. 185(1): 737-747 (2007) - [j16]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
Methods with prefixed order for approximating square roots with global and general convergence. Appl. Math. Comput. 194(2): 346-353 (2007) - [j15]J. A. Ezquerro, Miguel Ángel Hernández-Verón:
A generalization of the Kantorovich type assumptions for Halley's method. Int. J. Comput. Math. 84(12): 1771-1779 (2007) - [j14]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
On the efficiency index of one-point iterative processes. Numer. Algorithms 46(1): 35-44 (2007) - 2005
- [j13]Miguel Ángel Hernández-Verón, M. Jóse Rubio, J. A. Ezquerro:
Solving a special case of conservative problems by Secant-like methods. Appl. Math. Comput. 169(2): 926-942 (2005) - 2004
- [j12]Miguel Ángel Hernández-Verón, Natalia Romero Álvarez:
High order algorithms for approximating nth roots. Int. J. Comput. Math. 81(8): 1001-1014 (2004) - 2002
- [j11]J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. A. Salanova:
Solving a Boundary Value Problem by a Newton-Like Method. Int. J. Comput. Math. 79(10): 1113-1120 (2002) - 2001
- [j10]José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández:
An acceleration of Newton's method: Super-Halley method. Appl. Math. Comput. 117(2-3): 223-239 (2001) - 1999
- [j9]Miguel Ángel Hernández-Verón, M. A. Salanova:
Indices of convexity and concavity. Application to Halley method. Appl. Math. Comput. 103(1): 27-49 (1999) - [j8]M. A. Hernández-Verón, M. Jóse Rubio:
A new type of recurrence relations for the secant method. Int. J. Comput. Math. 72(4): 477-490 (1999) - 1998
- [j7]J. A. Ezquerro, J. M. Gutiérrez, M. A. Hernández-Verón:
A construction procedure of iterative methods with cubical convergence II: Another convergence approach. Appl. Math. Comput. 92(1): 59-68 (1998) - [j6]Miguel Ángel Hernández, M. A. Salanova:
Chebyshev method and convexity. Appl. Math. Comput. 95(1): 51-62 (1998) - [j5]J. A. Ezquerro, J. M. Gutiérrez, Miguel Ángel Hernández:
Solving a nonlinear equation by a uniparametric family of iterative processes. Int. J. Comput. Math. 68(3-4): 301-308 (1998) - [j4]José Antonio Ezquerro, Miguel Ángel Hernández, M. A. Salanova:
Construction of iterative processes with high order of convergence. Int. J. Comput. Math. 69(1-2): 191-201 (1998) - 1996
- [j3]M. A. Hernández-Verón, M. A. Salanova:
A family of chebyshev type methods in banach spaces. Int. J. Comput. Math. 61(1-2): 145-154 (1996) - [j2]J. A. Ezquerro, Miguel Ángel Hernández:
A note on a family of newton type iterative processes. Int. J. Comput. Math. 62(3-4): 223-232 (1996) - 1995
- [j1]José M. Gutiérrez, Miguel Ángel Hernández, M. A. Salanova:
Accessibility Of Solutions By Newton's Method. Int. J. Comput. Math. 57(3-4): 239-247 (1995)
Conference and Workshop Papers
- 2000
- [c1]José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández:
Newton's Method under Different Lipschitz Conditions. NAA 2000: 368-376
Coauthor Index
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