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Listar por palabra clave "Iterative method"

Mostrando ítems 1-20 de 39

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A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem

Andreu Estellés, Carlos; Cambil Teba, Noelia; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-04-01)

A derivative-free optimal eighth-order family of iterative methods for solving nonlinear equations is constructed using weight functions approach with divided first order differences. Its performance, along with several ...
A fast algorithm to solve systems of nonlinear equations

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-07)

[EN] A new HSS-based algorithm for solving systems of nonlinear equations is presented and its semilocal convergence is proved. Spectral properties of the new method are investigated. Performance profile for the new scheme ...
A general class of arbitrary order iterative methods for computing generalized inverses

Cordero Barbero, Alicia; Soto-Quiros, Pablo; Torregrosa Sánchez, Juan Ramón (Elsevier, 2021-11-15)

[EN] A family of iterative schemes for approximating the inverse and generalized inverse of a complex matrix is designed, having arbitrary order of convergence p. For each p, a class of iterative schemes appears, for which ...
A General Optimal Iterative Scheme with Arbitrary Order of Convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2021-05)

[EN] A general optimal iterative method, for approximating the solution of nonlinear equations, of (n+1) steps with 2(n+1) order of convergence is presented. Cases n=0 and n=1 correspond to Newton's and Ostrowski's schemes, ...
A new higher-order optimal derivative free scheme for multiple roots

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2022-04)

[EN] In this paper, we presented a novel and efficient fourth order derivative free optimal family of iterative methods for approximating the multiple roots of nonlinear equations. Initially the convergence analysis is ...
A new three-step class of iterative methods for solving nonlinear systems

Capdevila-Brown, Raudys Rafael; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-12)

[EN] In this work, a new class of iterative methods for solving nonlinear equations is presented and also its extension for nonlinear systems of equations. This family is developed by using a scalar and matrix weight ...
A steered response power iterative method for high-accuracy acoustic source localization

Martí Guerola, Amparo; Cobos Serrano, Máximo; López Monfort, José Javier; Escolano Carrasco, José (Acoustical Society of America, 2013-10)

Source localization using the steered response power (SRP) usually requires a costly grid-search procedure. To address this issue, a modified SRP algorithm was recently introduced, providing improved robustness when using ...
An algorithm derivative-free to improve the steffensen-type methods

Hernández-Verón, Miguel A.; Yadav, Sonia; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (MDPI AG, 2022-01)

[EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
An Iterative Method for Curve Adjustment Based on Optimization of a Variable and its Application

Acosta, Rogelio; Cabrera García, Suitberto; Vega, Luis Manuel; Cabrera, Asela; Acosta, Nersa (Universidad Nacional de Colombia, 2014)

[EN] An iterative method for the adjustment of curves is obtained by applying the least squares method reiteratively in functional subclasses, each defined by one parameter, after assigning values to the rest of the ...
Approximating the inverse and the Moore-Penrose inverse of complex matrices

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Zafar, Fiza (John Wiley & Sons, 2019-11-30)

[EN] A parametric family of fourth-order schemes for computing the inverse and the Moore-Penrose inverse of a complex matrix is designed. A particular value of the parameter allows us to obtain a fifth-order method. ...
Choosing the most stable members of Kou's family of iterative methods

Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] In this manuscript, we analyze the dynamical anomalies of a parametric family of iterative schemes designed by Kou et al. It is known that its order of convergence is three for any arbitrary value of the parameter, ...
CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Martínez, Tobías H.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2020-03)

[EN] The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative ...
CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior

Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2018)

[EN] A family of fourth-order iterative methods without memory, for solving nonlinear systems, and its seventh-order extension, are analyzed. By using complex dynamics tools, their stability and reliability are studied by ...
Complex dynamics of derivative-free methods for nonlinear equations

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Gutiérrez, José M.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-02-15)

The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...
Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems

Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2021-01-03)

[EN] A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical ...
Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations

Cordero Barbero, Alicia; Ledesma, Arleen; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2024-02-28)

[EN] In this paper, a new fourth-order family of iterative schemes for solving nonlinear equations has been proposed. This class is parameter-dependent and its numerical performance depends on the value of this free ...
Design and multidimensional extension of iterative methods for solving nonlinear problems

Artidiello, S.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M. P. (Elsevier, 2017)

[EN] In this paper, a three-step iterative method with sixth-order local convergence for approximating the solution of a nonlinear system is presented. From Ostrowski¿s scheme adding one step of Newton with ¿frozen¿ ...
Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?

Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-10-01)

This paper deals with the real dynamical analysis of iterative methods for solving nonlinear systems on vectorial quadratic polynomials. We use the extended concept of critical point and propose an easy test to determine ...
Estudio, Análisis y Parametrización de la combinación del método LSQR con filtros de ruido Gaussiano para reconstrucción de Imágenes de TAC

Chillarón Pérez, Mónica (Universitat Politècnica de València, 2017-01-16)

In the field of medical image reconstruction for Computed Tomography , various iterative methods have been developed which can obtain reconstructions from less projections. One such method is the LSQR, combined with a ...
Fixed point root-finding methods of fourth-order of convergence

Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-06-06)

[EN] In this manuscript, by using the weight-function technique, a new class of iterative methods for solving nonlinear problems is constructed, which includes many known schemes that can be obtained by choosing different ...