María P. Vassileva

ASSOCIATE PROFESSOR

María P. Vassileva

María Penkova Vassielva has a Bachelor in Mechanical Engineering. She also holds a PhD in Mathematics (2011, Universitat Politècnica de València) with her Thesis “Métodos iterativos para resolución de sistemas de ecuaciones no lineales” supervised by Alicia Cordero and Juan R. Torregrosa.

She currently serves as Associate Professor at Technology Institute of Santo Domingo, DO.

Publications

2025

Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations Journal Article

In: Applied Mathematics and Computation, vol. 492, 2025.

Links | BibTeX

2024

Cordero, Alicia; Leonardo-Sepúlveda, Miguel A.; Torregrosa, Juan R.; Vassileva, María P.

Increasing in three units the order of convergence of iterative methods for solving nonlinear systems Journal Article

In: Mathematics and Computers in Simulation, vol. 223, pp. 509 – 522, 2024.

Links | BibTeX

Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

A highly efficient class of optimal fourth-order methods for solving nonlinear systems Journal Article

In: Numerical Algorithms, vol. 95, no. 4, pp. 1879 – 1904, 2024.

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

High-efficiency implicit scheme for solving first-order partial differential equations Journal Article

In: Results in Applied Mathematics, vol. 24, 2024.

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Cordero, Alicia; Segura, Elaine; Torregrosa, Juan R.; Vassileva, María P.

Inverse matrix estimations by iterative methods with weight functions and their stability analysis Journal Article

In: Applied Mathematics Letters, vol. 155, 2024.

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Cordero, Alicia; Reyes, José A.; Torregrosa, Juan R.; Vassileva, María P.

Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations Journal Article

In: Axioms, vol. 13, no. 1, 2024, ISSN: 2075-1680.

Abstract | Links | BibTeX

2023

Cordero, Alicia; Leonardo-Sepúlveda, Miguel A.; Torregrosa, Juan R.; Vassileva, María P.

Enhancing the Convergence Order from p to p + 3 in Iterative Methods for Solving Nonlinear Systems of Equations without the Use of Jacobian Matrices Journal Article

In: Mathematics, vol. 11, no. 20, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Journal Article

In: Fractal and Fractional, vol. 7, no. 8, 2023.

Links | BibTeX

Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

Fractal Complexity of a New Biparametric Family of Fourth Optimal Order Based on the Ermakov–Kalitkin Scheme Journal Article

In: Fractal and Fractional, vol. 7, no. 6, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Generalized conformable fractional Newton-type method for solving nonlinear systems Journal Article

In: Numerical Algorithms, vol. 93, no. 3, pp. 1171 – 1208, 2023.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory Journal Article

In: Mathematics, vol. 11, no. 14, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach Journal Article

In: Mathematics, vol. 11, no. 11, 2023.

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2022

Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Journal Article

In: Applied Mathematics Letters, vol. 124, 2022.

Links | BibTeX

Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Iterative processes with fractional derivatives Book Chapter

In: Radwan, Ahmed G.; Khanday, Farooq Ahmad; Said, Lobna A. (Ed.): 2022, ISBN: 978-0-323-90089-8, (Publication Title: Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control).

Links | BibTeX

2021

Cordero, Alicia; García-Maimó, Javier; Martínez, Eulalia; Torregrosa, Juan R.; Vassileva, María P.

Semilocal convergence of the extension of chun’s method Journal Article

In: Axioms, vol. 10, no. 3, 2021.

Links | BibTeX

2020

Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Generalized inverses estimations by means of iterative methods with memory Journal Article

In: Mathematics, vol. 8, no. 1, 2020.

Links | BibTeX

2019

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Iterative methods with memory for solving systems of nonlinear equations using a second order approximation Journal Article

In: Mathematics, vol. 7, no. 11, 2019.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Stability anomalies of some jacobian-free iterative methods of high order of convergence Journal Article

In: Axioms, vol. 8, no. 2, 2019.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional Real Dynamics for High-Order Processes Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 201 – 207, 2019.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 208 – 215, 2019.

Links | BibTeX

2017

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

On optimal gaussian preliminary orbit determination by using a generalized class of iterative methods Book

2017, (Publication Title: Mathematical Research Summaries).

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

King-type derivative-free iterative families: Real and memory dynamics Journal Article

In: Complexity, vol. 2017, 2017.

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Design and multidimensional extension of iterative methods for solving nonlinear problems Journal Article

In: Applied Mathematics and Computation, vol. 293, pp. 194 – 203, 2017.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016 Journal Article

In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1443 – 1460, 2017.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016 Journal Article

In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1461 – 1480, 2017.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Stability of a fourth order bi-parametric family of iterative methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 312, pp. 94 – 102, 2017.

Links | BibTeX

2016

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Weighted Gaussian correction of Newton-type methods for solving nonlinear systems Journal Article

In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 59, no. 1, pp. 23 – 38, 2016.

Links | BibTeX

2015

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Erratum to: Solving nonlinear problems by Ostrowski–Chun type parametric families [J Math Chem, (2015), 53, 430-449, 10.1007/s10910-014-0432-z] Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 4, pp. 1191 – 1192, 2015.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Solving nonlinear problems by Ostrowski–Chun type parametric families Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 1, pp. 430 – 449, 2015.

Links | BibTeX

Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Two weighted eight-order classes of iterative root-finding methods Journal Article

In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1790 – 1805, 2015.

Links | BibTeX

Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Design of high-order iterative methods for nonlinear systems by using weight function procedure Journal Article

In: Abstract and Applied Analysis, vol. 2015, 2015.

Links | BibTeX

Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure Journal Article

In: Applied Mathematics and Computation, vol. 268, pp. 1064 – 1071, 2015.

Links | BibTeX

2014

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods Book

2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).

Links | BibTeX

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Some iterative methods for solving nonlinear matrix equations Journal Article

In: Civil-Comp Proceedings, vol. 105, 2014.

Links | BibTeX

Artidiello, S.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Optimal high-order methods for solving nonlinear equations Journal Article

In: Journal of Applied Mathematics, vol. 2014, 2014.

Links | BibTeX

2013

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Increasing the order of convergence of iterative schemes for solving nonlinear systems Journal Article

In: Journal of Computational and Applied Mathematics, vol. 252, pp. 86 – 94, 2013.

Links | BibTeX

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

New family of iterative methods with high order of convergence for solving nonlinear systems Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8236 LNCS, pp. 222 – 230, 2013.

Links | BibTeX

Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.; Vindel, Pura

Chaos in King's iterative family Journal Article

In: Applied Mathematics Letters, vol. 26, no. 8, pp. 842 – 848, 2013.

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2012

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

New predictor-corrector methods with high efficiency for solving nonlinear systems Journal Article

In: Journal of Applied Mathematics, vol. 2012, 2012.

Links | BibTeX

Arroyo, Víctor; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Artificial satellites preliminary orbit determination by the modified high-order Gauss method Journal Article

In: International Journal of Computer Mathematics, vol. 89, no. 3, pp. 347 – 356, 2012.

Links | BibTeX

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 218, no. 23, pp. 11496 – 11504, 2012.

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2011

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

A family of modified Ostrowski's methods with optimal eighth order of convergence Journal Article

In: Applied Mathematics Letters, vol. 24, no. 12, pp. 2082 – 2086, 2011.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Three-step iterative methods with optimal eighth-order convergence Journal Article

In: Journal of Computational and Applied Mathematics, vol. 235, no. 10, pp. 3189 – 3194, 2011.

Links | BibTeX