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1

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

2

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

3

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

4

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

5

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

6

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

7

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

8

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

9

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

10

On the convergence of a higher order family of methods and its dynamics

Argyros, Ioannis K., Cordero, Alicia, Magreñán, Ángel Alberto, Torregrosa, Juan Ramón

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 425 KB

english, 2016

11

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

12

Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

Amat, Sergio, Busquier, Sonia, Bermúdez, Concepción, Magreñán, Ángel

Journal:

Year:

2015

Language:

english

File:

PDF, 212 KB

english, 2015

13

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

14

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

15

Extending the choice of starting points for Newton's method

Argyros, Ioannis Konstantinos, Ezquerro, José Antonio, Hernández‐Verón, Miguel Ángel, Kim, Young Ik, Magreñán, Ángel Alberto

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

File:

PDF, 1.17 MB

2019

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