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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

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

4

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

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

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

7

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

8

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

9

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

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

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

12

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

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

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

15

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

16

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

17

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

18

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

19

On a two-step relaxed Newton-type method

Amat, S., Magreñán, Á.A., Romero, N.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 303 KB

english, 2013

20

An extension of a theorem by Wang for Smale’sα-theory and applications

Magreñán, Ángel Alberto, Argyros, Ioannis K.

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 392 KB

english, 2015

21

On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions

Gutiérrez, J.M., Magreñán, Á.A., Romero, N.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 412 KB

english, 2013

22

Robust semi-local convergence analysis for inexact Newton method

Argyros, Ioannis K., Hilout, Saïd, Magreñán, Ángel A.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 481 KB

english, 2014

23

Real dynamics for damped Newton’s method applied to cubic polynomials

Magreñán, Ángel Alberto, Gutiérrez, José Manuel

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.27 MB

english, 2015

24

Letter to the editor

Alberto Magreñán, Á.

Journal:

Environmental Policy and Law

Year:

1976

Language:

english

File:

PDF, 140 KB

english, 1976

25

Two-step Newton methods

Magreñán Ruiz, Ángel Alberto, Argyros, Ioannis K.

Journal:

Journal of Complexity

Year:

2014

Language:

english

File:

PDF, 360 KB

english, 2014

26

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

27

Local convergence analysis of proximal Gauss–Newton method for penalized nonlinear least squares problems

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 341 KB

english, 2014

28

A new tool to study real dynamics: The convergence plane

Magreñán, Ángel Alberto

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 1.28 MB

english, 2014

29

Expanding the applicability of the Gauss–Newton method for convex optimization under a majorant condition

Á. Alberto Magreñán,Ioannis K. Argyros

Journal:

Year:

2014

Language:

english

File:

PDF, 365 KB

english, 2014

30

Decision model for siting transport and logistic facilities in urban environments: A methodological approach

Fraile, Alberto, Larrodé, Emilio, Alberto Magreñán, Á., Sicilia, Juan Antonio

Journal:

Journal of Computational and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 688 KB

english, 2014

31

A variant of Steffensen–King’s type family with accelerated sixth-order convergence and high efficiency index: Dynamic study and approach

Lotfi, T., Magreñán, Á.A., Mahdiani, K., Javier Rainer, J.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 1.39 MB

english, 2015

32

Improved local convergence analysis of the Gauss–Newton method under a majorant condition

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Computational Optimization and Applications

Year:

2015

Language:

english

File:

PDF, 481 KB

english, 2015

33

Stability study of eighth-order iterative methods for solving nonlinear equations

Cordero, Alicia, Magreñán, Alberto, Quemada, Carlos, Torregrosa, Juan R.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.81 MB

english, 2015

34

Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order

Argyros, Ioannis K., George, Santhosh, Magreñán, Á. Alberto

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 392 KB

english, 2015

35

A new fourth-order family for solving nonlinear problems and its dynamics

Cordero, Alicia, Feng, Licheng, Magreñán, Alberto, Torregrosa, Juan R.

Journal:

Journal of Mathematical Chemistry

Year:

2015

Language:

english

File:

PDF, 1.22 MB

english, 2015

36

A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Numerical Algorithms

Year:

2016

Language:

english

File:

PDF, 2.43 MB

english, 2016

37

Extended convergence results for the Newton–Kantorovich iteration

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 631 KB

english, 2015

38

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

39

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

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 413 KB

english, 2015

40

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

41

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

42

Majorizing sequences for Newton's method under centred conditions for the derivative

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

Journal:

International Journal of Computer Mathematics

Year:

2014

Language:

english

File:

PDF, 159 KB

english, 2014

43

Reducing Chaos and Bifurcations in Newton-Type Methods

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

Journal:

Abstract and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 1.26 MB

english, 2013

44

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

45

On the convergence of inexact two-point Newton-like methods on Banach spaces

Argyros, Ioannis Konstantinos, Magreñán, Ángel Alberto

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 329 KB

english, 2015

46

Expanding the applicability of the Secant method under weaker conditions

Argyros, Ioannis K., Magreñán, Á. Alberto

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 746 KB

english, 2015

47

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

48

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

49

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

50

Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

Alberto Magreñán, Á., Argyros, Ioannis K.

Journal:

Year:

2015

Language:

english

File:

PDF, 1.87 MB

english, 2015

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