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1

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

Argyros, I.K., Ezquerro, J.A., Hernández-Verón, M.A., Magreñán, Á.A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 422 KB

english, 2018

2

Different anomalies in a Jarratt family of iterative root-finding methods

Alberto Magreñán, Á.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 2.96 MB

english, 2014

3

Ball convergence of a sixth-order Newton-like method based on means under weak conditions

Magreñán, Á. A., Argyros, I. K., Rainer, J. J., Sicilia, J. A.

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 491 KB

english, 2018

4

On the convergence of an optimal fourth-order family of methods and its dynamics

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 1.79 MB

english, 2015

5

Second derivative free sixth order continuation method for solving nonlinear equations with applications

Maroju, P., Magreñán, Á. A., Motsa, S. S., Sarría, Í.

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 2.45 MB

english, 2018

6

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

Maroju, P., Magreñán, Á. A., Sarría, Í., Kumar, Abhimanyu

Journal:

Journal of Mathematical Chemistry

Year:

2020

File:

PDF, 2.80 MB

2020

7

New semilocal and local convergence analysis for the Secant method

Magreñán, Á. Alberto, Argyros, Ioannis K.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 313 KB

english, 2015

8

Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions

Amat, S., Argyros, Ioannis K., Busquier, S., Magreñán, Á. Alberto

Journal:

Numerical Algorithms

Year:

2017

Language:

english

File:

PDF, 934 KB

english, 2017

9

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

I. K. Argyros,Á. A. Magreñán,L. Orcos,J. A. Sicilia

Journal:

Journal of Mathematical Chemistry

Year:

2017

Language:

english

File:

PDF, 453 KB

english, 2017

10

Starting points for Newton’s method under a center Lipschitz condition for the second derivative

Ezquerro, J.A., Hernández-Verón, M.A., Magreñán, Á.A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 332 KB

english, 2016

11

Different methods for solving STEM problems

Argyros, Ioannis K., Magreñán, Á. A., Orcos, L., Sarría, Íñígo, Sicilia, Juan Antonio

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 429 KB

english, 2018

12

3D visualization through the Hologram for the Learning of Area and Volume Concepts

Orcos, Lara, Jordán, Cristina, Magreñán, Alberto

Journal:

Year:

2019

Language:

english

File:

PDF, 2.25 MB

english, 2019

13

Highly efficient family of iterative methods for solving nonlinear models

Behl, Ramandeep, Sarría, Í., González, R., Magreñán, Á.A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 946 KB

english, 2018

14

A complex dynamical approach of Chebyshev’s method

García-Olivo, Martín, Gutiérrez, José M., Magreñán, Á. Alberto

Journal:

Year:

2015

Language:

english

File:

PDF, 1.43 MB

english, 2015

15

The Kumon Method: Its Importance in the Improvement on the Teaching and Learning of Mathematics from the First Levels of Early Childhood and Primary Education

Orcos, L., Hernández-Carrera, R., Espigares, M., Magreñán, Á.

Journal:

Year:

2019

File:

PDF, 1.95 MB

2019

16

Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation

Argyros, Ioannis K., Magreñán, Á. Alberto, Orcos, Lara

Journal:

Journal of Mathematical Chemistry

Year:

2016

Language:

english

File:

PDF, 526 KB

english, 2016

17

An efficient optimal family of sixteenth order methods for nonlinear models

Behl, Ramandeep, Amat, S., Magreñán, Á.A., Motsa, S.S.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 767 KB

english, 2018

18

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods

Argyros, I. K., González, D., Magreñán, Á. A.

Journal:

Journal of Function Spaces

Year:

2014

Language:

english

File:

PDF, 268 KB

english, 2014

19

A Contemporary Study of Iterative Methods || The majorization method in the Kantorovich theory

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 221 KB

english, 2018

20

A Contemporary Study of Iterative Methods || Directional Newton methods

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 106 KB

english, 2018

21

Study of a Biparametric Family of Iterative Methods

Campos, B., Cordero, A., Magreñán, Á. A., Torregrosa, J. R., Vindel, P.

Journal:

Abstract and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 6.08 MB

english, 2014

22

Improved convergence analysis for Newton-like methods

Magreñán, Ángel Alberto, Argyros, Ioannis K.

Journal:

Numerical Algorithms

Year:

2016

Language:

english

File:

PDF, 333 KB

english, 2016

23

Improved semilocal convergence analysis in Banach space with applications to chemistry

Argyros, Ioannis K., Giménez, Elena, Magreñán, Á. A., Sarría, Í., Sicilia, Juan Antonio

Journal:

Journal of Mathematical Chemistry

Year:

2017

Language:

english

File:

PDF, 523 KB

english, 2017

24

A Contemporary Study of Iterative Methods || Newton's method

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 112 KB

english, 2018

25

Dynamics and local convergence of a family of derivative-free iterative processes

Hernández-Verón, M.A., Magreñán, Á.A., Rubio, M.J.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 983 KB

english, 2018

26

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

Magreñán, Á. Alberto, Argyros, Ioannis K.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 424 KB

english, 2014

27

On the convergence of a Damped Secant method with modified right-hand side vector

Argyros, Ioannis K., Cordero, Alicia, Alberto Magreñán, Á., Torregrosa, J.R.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 347 KB

english, 2015

28

A Contemporary Study of Iterative Methods || Generalized equations

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 114 KB

english, 2018

29

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) - Thessaloniki, Greece (25–30 September 2017)] - Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations

Magreñán, Á. A., Argyros, I. K., Sarría, Í., Sicilia, J. A.

Year:

2018

Language:

english

File:

PDF, 567 KB

english, 2018

30

Letter to the editor

Alberto Magreñán, Á.

Journal:

Environmental Policy and Law

Year:

1976

Language:

english

File:

PDF, 140 KB

english, 1976

31

On the election of the damped parameter of a two-step relaxed Newton-type method

Amat, Sergio, Busquier, Sonia, Bermúdez, Concepción, Magreñán, Á. Alberto

Journal:

Nonlinear Dynamics

Year:

2016

Language:

english

File:

PDF, 3.59 MB

english, 2016

32

A Contemporary Study of Iterative Methods || Gauss–Newton method

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 100 KB

english, 2018

33

Unified Local Convergence for Newton’s Method and Uniqueness of the Solution of Equations under Generalized Conditions in a Banach Space

Argyros, Ioannis K., Magreñán, Ángel Alberto, Orcos, Lara, Sarría, Íñigo

Journal:

Year:

2019

File:

PDF, 297 KB

2019

34

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

Magreñán, Á. Alberto, Cordero, Alicia, Gutiérrez, José M., Torregrosa, Juan R.

Journal:

Mathematics and Computers in Simulation

Year:

2014

Language:

english

File:

PDF, 3.03 MB

english, 2014

35

A Contemporary Study of Iterative Methods || Gauss–Newton method for convex optimization

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 130 KB

english, 2018

36

A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions

Geum, Young Hee, Kim, Young Ik, Magreñán, Á. Alberto

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 8.74 MB

english, 2018

37

Extended local convergence for some inexact methods with applications

Argyros, Ioannis K., Legaz, M. J., Magreñán, Á. A., Moreno, D., Sicilia, Juan Antonio

Journal:

Journal of Mathematical Chemistry

Year:

2019

Language:

english

File:

PDF, 371 KB

english, 2019

38

A Contemporary Study of Iterative Methods || Proximal Gauss–Newton method

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 98 KB

english, 2018

39

Improving the domain of parameters for Newton’s method with applications

Argyros, Ioannis K., Magreñán, Ángel Alberto, Sicilia, Juan Antonio

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 326 KB

english, 2016

40

A Contemporary Study of Iterative Methods || Multistep modified Newton–Hermitian and Skew-Hermitian Splitting method

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 139 KB

english, 2018

41

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) - Thessaloniki, Greece (25–30 September 2017)] - On a Newton-type family of high-order iterative methods for some matrix functions

Amat, S., Busquier, S., Magreñán, Á. A.

Year:

2018

Language:

english

File:

PDF, 516 KB

english, 2018

42

New improved convergence analysis for the secant method

Magreñán, Á. Alberto, Argyros, Ioannis K.

Journal:

Mathematics and Computers in Simulation

Year:

2015

Language:

english

File:

PDF, 343 KB

english, 2015

43

A Contemporary Study of Iterative Methods || Secant-like methods in chemistry

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 230 KB

english, 2018

44

Advances in the Semilocal Convergence of Newton’s Method with Real-World Applications

Argyros, Ioannis, Magreñán, Á., Orcos, Lara, Sarría, Íñigo

Journal:

Year:

2019

Language:

english

File:

PDF, 778 KB

english, 2019

45

Unified Local Convergence for Newton’s Method and Uniqueness of the Solution of Equations under Generalized Conditions in a Banach Space

Argyros, Ioannis K., Magreñán, Ángel Alberto, Orcos, Lara, Sarría, Íñigo

Journal:

Year:

2019

Language:

english

File:

PDF, 297 KB

english, 2019

46

Extending the applicability of the local and semilocal convergence of Newton’s method

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 310 KB

english, 2017

47

Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains

Argyros, I. K., Ezquerro, J. A., Hernández-Verón, M. A., Magreñán, Á. A.

Journal:

Journal of Mathematical Chemistry

Year:

2017

Language:

english

File:

PDF, 454 KB

english, 2017

48

A Contemporary Study of Iterative Methods || Robust convergence of Newton's method for cone inclusion problem

Magreñán, Á. Alberto

Year:

2018

Language:

english

File:

PDF, 143 KB

english, 2018

49

The “Gauss-Seidelization” of iterative methods for solving nonlinear equations in the complex plane

José Manuel Gutiérrez, Ángel Alberto Magreñán, Juan Luis Varona

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 1.55 MB

english, 2011

50

Extending the applicability of Gauss–Newton method for convex composite optimization on Riemannian manifolds

Argyros, Ioannis K., Magreñán, Ángel Alberto

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 612 KB

english, 2014

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