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1

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

2

On some computational orders of convergence

Miquel Grau-Sánchez, Miquel Noguera, José Manuel Gutiérrez

Journal:

Applied Mathematics Letters

Year:

2010

Language:

english

File:

PDF, 469 KB

english, 2010

3

Frozen divided difference scheme for solving systems of nonlinear equations

Miquel Grau-Sánchez, Àngela Grau, Miquel Noguera

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 220 KB

english, 2011

4

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

J. A. Ezquerro, M. Grau-Sánchez, A. Grau, M. A. Hernández, M. Noguera, N. Romero

Journal:

Journal of Optimization Theory and Applications

Year:

2011

Language:

english

File:

PDF, 487 KB

english, 2011

5

On the computational efficiency index and some iterative methods for solving systems of nonlinear equations

Miquel Grau-Sánchez, Àngela Grau, Miquel Noguera

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 431 KB

english, 2011

6

On new computational local orders of convergence

Miquel Grau-Sánchez, Miquel Noguera, Àngela Grau, José R. Herrero

Journal:

Applied Mathematics Letters

Year:

2012

Language:

english

File:

PDF, 242 KB

english, 2012

7

Frozen Iterative Methods Using Divided Differences “

Grau-Sánchez, Miquel, Noguera, Miquel, Gutiérrez, José M.

Journal:

Journal of Optimization Theory and Applications

Year:

2014

Language:

english

File:

PDF, 629 KB

english, 2014

8

CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD

EZQUERRO, J. A., GRAU, A., GRAU-SÁNCHEZ, M., HERNÁNDEZ, M. A.

Journal:

Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 305 KB

english, 2013

9

On computational efficiency for multi-precision zero-finding methods

Miquel Grau-Sánchez, José Luis Díaz-Barrero

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 1.05 MB

english, 2006

10

A weighted variant family of Newton’s method with accelerated third-order convergence

Miquel Grau-Sánchez, José Luis Díaz-Barrero

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 126 KB

english, 2007

11

Accelerated iterative methods for finding solutions of a system of nonlinear equations

Miquel Grau-Sánchez, Josep M. Peris, José M. Gutiérrez

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 198 KB

english, 2007

12

A Hummel & Seebeck family of iterative methods with improved convergence and efficiency

Miquel Grau-Sánchez, José-Luis Díaz-Barrero

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 185 KB

english, 2007

13

Some sixth order zero-finding variants of Chebyshev–Halley methods

Miquel Grau-Sánchez, José Luis Díaz-Barrero

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 131 KB

english, 2009

14

Adams-like techniques for zero-finder methods

Miquel Grau-Sánchez, Miquel Noguera, José Luis Díaz-Barrero

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 190 KB

english, 2009

15

Zero-finder methods derived from Obreshkov’s techniques

Miquel Grau-Sánchez, José M. Gutiérrez

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 227 KB

english, 2009

16

Zero-finder methods derived using Runge–Kutta techniques

Miquel Grau-Sánchez, José Luis Dı´az-Barrero

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 238 KB

english, 2011

17

Improving order and efficiency: Composition with a modified Newton’s method

Miquel Grau-Sánchez

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 391 KB

english, 2009

18

Variants of a classic Traub’s result

J.A. Ezquerro, M. Grau-Sánchez, M.A. Hernández, N. Romero

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 321 KB

english, 2010

19

Chaotic behavior in a learning model

M. Grau-Sánchez, M. Noguera, J.M. Peris, J.L. Díaz-Barrero

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 949 KB

english, 2010

20

Improvements of the efficiency of some three-step iterative like-Newton methods

Miquel Grau-Sánchez

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 231 KB

english, 2007

21

An application of an associative learning model to a Morris pool with a single landmark

M. Grau-Sánchez, M. Noguera, J.L. Díaz-Barrero, V.D. Chamizo, T. Rodrigo

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 269 KB

english, 2008

22

Refinements of Aczél, Popoviciu and Bellman’s inequalities

J.L. Díaz-Barrero, M. Grau-Sánchez, P.G. Popescu

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 190 KB

english, 2008

23

Ostrowski type methods for solving systems of nonlinear equations

Miquel Grau-Sánchez, Àngela Grau, Miquel Noguera

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 302 KB

english, 2011

24

A technique to choose the most efficient method between secant method and some variants

Miquel Grau-Sánchez, Miquel Noguera

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 376 KB

english, 2012

25

Solving non-differentiable equations by a new one-point iterative method with memory

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

Journal:

Journal of Complexity

Year:

2012

Language:

english

File:

PDF, 315 KB

english, 2012

26

Analysing the efficiency of some modifications of the secant method

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

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 241 KB

english, 2012

27

On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods

Miquel Grau-Sánchez, Miquel Noguera, Sergio Amat

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 312 KB

english, 2013

28

Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations

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

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 306 KB

english, 2013

29

On the efficiency of two variants of Kurchatov’s method for solving nonlinear systems

José Antonio Ezquerro, Angela Grau, Miquel Grau-Sánchez…

Journal:

Numerical Algorithms

Year:

2013

Language:

english

File:

PDF, 359 KB

english, 2013

30

Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations

Grau-Sánchez, Miquel, Diaz-Barrero, Jose L.

Journal:

Applied Mathematics Letters

Year:

2014

Language:

english

File:

PDF, 381 KB

english, 2014

31

On the local convergence of a family of two-step iterative methods for solving nonlinear equations

Grau-Sánchez, Miquel, Noguera, Miquel, Diaz-Barrero, José L.

Journal:

Journal of Computational and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 474 KB

english, 2014

32

Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications

Amat, Sergio, Busquier, Sonia, Grau, Àngela, Grau-Sánchez, Miquel

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 627 KB

english, 2013

33

Overactivation of the supplementary motor area in chronic stroke patients

Amengual, J. L., Munte, T. F., Marco-Pallares, J., Rojo, N., Grau-Sanchez, J., Rubio, F., Duarte, E., Grau, C., Rodriguez-Fornells, A.

Journal:

Journal of Neurophysiology

Year:

2014

Language:

english

File:

PDF, 2.07 MB

english, 2014

34

[IEEE 2009 3rd Annual IEEE Systems Conference - Vancouver, BC, Canada (2009.03.23-2009.03.26)] 2009 3rd Annual IEEE Systems Conference - A new fuzzy-based system for extracting structural features allowing to capture stripes' image local patterns

Sobrevilla, Pilar, Montseny, Eduard, Grau-Sanchez, Miquel

Year:

2009

Language:

english

File:

PDF, 1.11 MB

english, 2009

35

[IEEE 2007 IEEE International Fuzzy Systems Conference - London, UK (2007.07.23-2007.07.26)] 2007 IEEE International Fuzzy Systems Conference - On the Use of Fuzzy Texture Spectrum for Homogeneous and Textured Images Discrimination

Grau-Sanchez, Miquel, Montseny, Eduard, Sobrevilla, Pilar

Year:

2007

Language:

english

File:

PDF, 3.60 MB

english, 2007

36

Some variants of the Chebyshev–Halley family of methods with fifth order of convergence

Grau-Sánchez, Miquel, Gutiérrez, José M.

Journal:

International Journal of Computer Mathematics

Year:

2010

Language:

english

File:

PDF, 369 KB

english, 2010

37

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

38

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

39

A new class of secant-like methods for solving nonlinear systems of equations

Ezquerro, José, Grau, Angela, Grau-Sánchez, Miquel, Hernández, Miguel

Journal:

Communications in Applied Mathematics and Computational Science

Year:

2014

Language:

english

File:

PDF, 562 KB

english, 2014

40

Note on the efficiency of some iterative methods for solving nonlinear equations

Grau-Sánchez, Miquel, Noguera, Miquel, Diaz-Barrero, Jose L.

Journal:

Year:

2015

Language:

english

File:

PDF, 406 KB

english, 2015

41

Music supported therapy promotes motor plasticity in individuals with chronic stroke

Ripollés, P., Rojo, N., Grau-Sánchez, J., Amengual, J. L., Càmara, E., Marco-Pallarés, J., Juncadella, M., Vaquero, L., Rubio, F., Duarte, E., Garrido, C., Altenmüller, E., Münte, T. F., Rodríguez-For

Journal:

Brain Imaging and Behavior

Year:

2016

Language:

english

File:

PDF, 3.79 MB

english, 2016

42

A multidimensional generalization of some classes of iterative methods

Grau-Sánchez, Miquel, Noguera, Miquel, Gutiérrez, José M.

Journal:

Year:

2017

Language:

english

File:

PDF, 516 KB

english, 2017

43

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

44

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

45

A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations

Grau-Sánchez, Miquel, Noguera, Miquel

Journal:

Year:

2016

Language:

english

File:

PDF, 477 KB

english, 2016

46

Music-supported therapy in the rehabilitation of subacute stroke patients: a randomized controlled trial

Grau-Sánchez, Jennifer, Duarte, Esther, Ramos-Escobar, Neus, Sierpowska, Joanna, Rueda, Nohora, Redón, Susana, Veciana de las Heras, Misericordia, Pedro, Jordi, Särkämö, Teppo, Rodríguez-Fornells, Ant

Journal:

Annals of the New York Academy of Sciences

Year:

2018

Language:

english

File:

PDF, 522 KB

english, 2018

47

Plasticity in the sensorimotor cortex induced by Music-supported therapy in stroke patients: a TMS study

Grau-Sánchez, Jennifer, Amengual, Julià L., Rojo, Nuria, Veciana de las Heras, Misericordia, Montero, Jordi, Rubio, Francisco, Altenmüller, Eckart, Münte, Thomas F., Rodríguez-Fornells, Antoni

Journal:

Frontiers in Human Neuroscience

Year:

2013

Language:

english

File:

PDF, 3.05 MB

english, 2013

48

Decreased Corticospinal Excitability after the Illusion of Missing Part of the Arm

Kilteni, Konstantina, Grau-Sánchez, Jennifer, Veciana De Las Heras, Misericordia, Rodríguez-Fornells, Antoni, Slater, Mel

Journal:

Frontiers in Human Neuroscience

Year:

2016

Language:

english

File:

PDF, 934 KB

english, 2016

49

Musical training as an alternative and effective method for neuro-education and neuro-rehabilitation

François, Clément, Grau-Sánchez, Jennifer, Duarte, Esther, Rodriguez-Fornells, Antoni

Journal:

Frontiers in Psychology

Year:

2015

Language:

english

File:

PDF, 685 KB

english, 2015

50

Exploring Musical Activities and Their Relationship to Emotional Well-Being in Elderly People across Europe: A Study Protocol

Grau-Sánchez, Jennifer, Foley, Meabh, Hlavová, Renata, Muukkonen, Ilkka, Ojinaga-Alfageme, Olatz, Radukic, Andrijana, Spindler, Melanie, Hundevad, Bodil

Journal:

Frontiers in Psychology

Year:

2017

Language:

english

File:

PDF, 279 KB

english, 2017