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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

On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences

Amat, Sergio, Busquier, Sonia, Grau-Sánchez, Miquel, Hernández-Verón, Miguel A.

Journal:

Computational Methods in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.17 MB

english, 2017

3

On the ball of convergence of secant-like methods for non-differentiable operators

Hernández-Verón, M.A., Rubio, M.J.

Journal:

Applied Mathematics and Computation

Year:

2016

Language:

english

File:

PDF, 376 KB

english, 2016

4

How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations

Ezquerro, José Antonio, Hernández-Verón, Miguel Ángel

Journal:

Year:

2019

Language:

english

File:

PDF, 287 KB

english, 2019

5

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

6

Nonlinear Fredholm integral equations and majorant functions

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

Journal:

Numerical Algorithms

Year:

2019

Language:

english

File:

PDF, 611 KB

english, 2019

7

An analysis of the semilocal convergence for secant-like methods

Ezquerro, J.A., Hernández-Verón, M.A., Velasco, A.I.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 643 KB

english, 2015

8

Convergence of Steffensen’s method for non-differentiable operators

Argyros, I. K., Hernández-Verón, M. A., Rubio, M. J.

Journal:

Numerical Algorithms

Year:

2017

Language:

english

File:

PDF, 348 KB

english, 2017

9

On the local convergence of a Newton–Kurchatov-type method for non-differentiable operators

Hernández-Verón, M.A., Rubio, M.J.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 388 KB

english, 2017

10

Expanding the Applicability of Some High Order Househölder-Like Methods

Amat, Sergio, Argyros, Ioannis, Hernández-Verón, Miguel, Romero, Natalia

Journal:

Year:

2017

Language:

english

File:

PDF, 268 KB

english, 2017

11

Enlarging the domain of starting points for Newton’s method under center conditions on the first Fréchet-derivative

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Journal of Complexity

Year:

2015

Language:

english

File:

PDF, 575 KB

english, 2015

12

On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations

Amat, Sergio, Busquier, Sonia, Grau-Sánchez, Miquel, Hernández-Verón, M. A., Rubio, M. J.

Journal:

Numerical Functional Analysis and Optimization

Year:

2018

Language:

english

File:

PDF, 1.74 MB

english, 2018

13

On a new family of high-order iterative methods for the matrix p th root

Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

Journal:

Numerical Linear Algebra with Applications

Year:

2015

Language:

english

File:

PDF, 132 KB

english, 2015

14

On an efficient k-step iterative method for nonl

Amat, S., Bermúdez, C., Hernández-Verón, M.A., Martínez, Eulalia

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 1.15 MB

english, 2016

15

Majorizing Sequences for Nonlinear Fredholm-Hammerstein Integral Equations

Ezquerro, José A., Hernández-Verón, Miguel A.

Journal:

Studies in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 364 KB

english, 2017

16

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

17

Center conditions on high order derivatives in the semilocal convergence of Newton’s method

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Journal of Complexity

Year:

2015

Language:

english

File:

PDF, 413 KB

english, 2015

18

Iterative methods for computing the matrix square root

Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

Journal:

Year:

2015

Language:

english

File:

PDF, 443 KB

english, 2015

19

The majorant principle applied to Hammerstein integral equations

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Applied Mathematics Letters

Year:

2017

Language:

english

File:

PDF, 378 KB

english, 2017

20

Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces

Cordero, A., Hernández-Verón, M.A., Romero, N., Torregrosa, J.R.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 443 KB

english, 2015

21

On the Local Convergence of a Third Order Family of Iterative Processes

Hernández-Verón, M., Romero, N.

Journal:

Year:

2015

Language:

english

File:

PDF, 315 KB

english, 2015

22

Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Applied Numerical Mathematics

Year:

2019

File:

PDF, 447 KB

2019

23

A study of optimization for Steffensen-type methods with frozen divided differences

Ezquerro, J. A., Grau-Sánchez, M., Hernández-Verón, M. A., Noguera, M.

Journal:

Year:

2015

Language:

english

File:

PDF, 615 KB

english, 2015

24

On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative

Ezquerro, José, Hernández-Verón, Miguel

Journal:

Year:

2015

Language:

english

File:

PDF, 579 KB

english, 2015

25

On a Steffensen-like method for solving nonlinear equations

Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

Journal:

Year:

2016

Language:

english

File:

PDF, 714 KB

english, 2016

26

On a Newton-Kurchatov-type Iterative Process

Hernández-Verón, M. A., Rubio, M. J.

Journal:

Numerical Functional Analysis and Optimization

Year:

2016

Language:

english

File:

PDF, 421 KB

english, 2016

27

Domains of global convergence for Newton’s method from auxiliary points

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Applied Mathematics Letters

Year:

2018

Language:

english

File:

PDF, 645 KB

english, 2018

28

Improving the applicability of the secant method to solve nonlinear systems of equations

Amat, S., Hernández-Verón, M.A., Rubio, M.J.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 1.05 MB

english, 2014

29

Improving the accessibility of Steffensen’s method by decomposition of operators

Hernández-Verón, M.A., Martínez, Eulalia

Journal:

Journal of Computational and Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1006 KB

english, 2017

30

On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich’s Technique

Ezquerro, José, Hernández-Verón, Miguel

Journal:

Year:

2017

Language:

english

File:

PDF, 282 KB

english, 2017

31

A semilocal convergence result for Newton’s method under generalized conditions of Kantorovich

Ezquerro, J.A., González, D., Hernández-Verón, M.A.

Journal:

Journal of Complexity

Year:

2014

Language:

english

File:

PDF, 426 KB

english, 2014

32

Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems

Hernández-Verón, M. A., Martínez, Eulalia, Teruel, Carles

Journal:

Numerical Algorithms

Year:

2016

Language:

english

File:

PDF, 505 KB

english, 2016

33

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

34

A Steffensen type method of two steps in Banach spaces with applications

Amat, S., Busquier, S., Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 492 KB

english, 2015

35

An acceleration of the continuous Newton’s method

Gutiérrez, J.M., Hernández-Verón, M.Á.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.15 MB

english, 2018

36

A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators

Amat, Sergio, Argyros, Ioannis, Busquier, Sonia, Hernández-Verón, Miguel Ángel, Rubio, María Jesús

Journal:

Year:

2019

Language:

english

File:

PDF, 300 KB

english, 2019

37

On the local convergence of a fifth-order iterative method in Banach spaces

Cordero, A., Ezquerro, J.A., Hernández-Verón, M.A., Torregrosa, J.R.

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 575 KB

english, 2015

38

Auxiliary point on the semilocal convergence of Newton’s method

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 367 KB

english, 2018

39

Existence, localization and approximation of solution of symmetric algebraic Riccati equations

Hernández-Verón, M.A., Romero, N.

Journal:

Computers & Mathematics with Applications

Year:

2018

Language:

english

File:

PDF, 547 KB

english, 2018

40

A family of iterative methods that uses divided differences of first and second orders

Ezquerro, J. A., Grau-Sánchez, M., Hernández-Verón, M. A., Noguera, M.

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

41

How to improve the domain of parameters for Newton’s method

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Applied Mathematics Letters

Year:

2015

Language:

english

File:

PDF, 348 KB

english, 2015

42

Approximation of inverse operators by a new family of high-order iterative methods

Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

Journal:

Numerical Linear Algebra with Applications

Year:

2014

Language:

english

File:

PDF, 560 KB

english, 2014

43

On a Moser–Steffensen Type Method for Nonlinear Systems of Equations

Amat, S., Grau-Sanchez, M., Hernández-Verón, M. A., Rubio, M. J.

Journal:

Mediterranean Journal of Mathematics

Year:

2016

Language:

english

File:

PDF, 656 KB

english, 2016

44

On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

Hernández-Verón, M. A., Martínez, Eulalia

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 334 KB

english, 2015

45

On two high-order families of frozen Newton-type methods

Amat, S., Argyros, I., Busquier, S., Hernández-Verón, M. A.

Journal:

Numerical Linear Algebra with Applications

Year:

2017

Language:

english

File:

PDF, 327 KB

english, 2017

46

On the local convergence study for an efficient k-step iterative method

Amat, S., Argyros, I.K., Busquier, S., Hernández-Verón, M.A., Martínez, E.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 446 KB

english, 2018

47

Construction of simple majorizing sequences for iterative methods

Ezquerro, J.A., Hernández-Verón, M.A.

Journal:

Applied Mathematics Letters

Year:

2019

Language:

english

File:

PDF, 437 KB

english, 2019

48

Solving Symmetric Algebraic Riccati Equations with High Order Iterative Schemes

Hernández-Verón, M. A., Romero, N.

Journal:

Mediterranean Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 740 KB

english, 2018

49

How to Improve the Domain of Starting Points for Steffensen's Method

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

Journal:

Studies in Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 649 KB

english, 2014

50

A Traub type result for one-point iterative methods with memory

Ezquerro, J. A., Grau-Sánchez, M., Hernández-Verón, M. A., Noguera, M.

Journal:

Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 259 KB

english, 2014

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