DANIEL GONZÁLEZ SÁNCHEZ

About

Daniel González has a degree in Mathematics and he is an Engineer in Computer Sciences. He earned a doctorate in Applied Mathematics studying initial value problems for the Newton method in Banach spaces. All his remarks were obtained at the University of La Rioja in Spain. González is a prolific author and researcher on top of the journals in the field of Numerical Analysis, focused principally on nonlinear, integral and differential equations using iterative processes. In addition, Daniel serves as an active reviewer in these journals. He is also interested in pedagogical processes to teach mathematics in higher education with several publications in this field.

Work

Universidad de La Rioja

Spain

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Universidad Internacional de La Rioja
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Docente

Spain

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Universidad de Las Américas
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Researcher/Professor

Ecuador

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Escuela Politécnica Nacional
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Research/Teach

Ecuador

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Escuela Politécnica Nacional
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Investigador Prometeo

Ecuador

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Education

Universidad de la Rioja
Spain

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Doctor en Matemática Aplicada

Universidad de la Rioja
Spain

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Ingeniero Técnico en Informática de Gestión

Universidad de la Rioja
Spain

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Licenciado en Matemáticas

Publications

Improved Convergence Ball and Error Analysis of Muller's Method

Published by

Boletim da Sociedade Paranaense de Matemática

Summary

journal-article

Extended Comparative Study between Newton’s and Steffensen-like Methods with Applications

Published by

Mathematics

Summary

journal-article

Enseñanza de estadística descriptiva mediante el uso de simuladores y laboratorios virtuales en la etapa universitaria

Published by

Bordón. Revista de Pedagogía

Summary

journal-article

Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems

Published by

Mathematics

Summary

journal-article

Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems

Published by

Mathematics

Summary

journal-article

Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems

Published by

Mathematics

Summary

journal-article

Extended Comparative Study between Newton’s and Steffensen-like Methods with Applications

Published by

Mathematics

Summary

journal-article

Extended Comparative Study between Newton's and Steffensen-like Methods with Applications

Published by

Mathematics

Summary

journal-article

Local convergence comparison between frozen Kurchatov and Schmidt–Schwetlick–Kurchatov solvers with applications

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

Improved convergence ball and error analysis of Müller's method

Published by

Boletim da Sociedade Paranaense de Matemática

Summary

journal-article

Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications

Published by

Computational and Mathematical Methods

Summary

journal-article

Ball comparison between frozen Potra and Schmidt–Schwetlick schemes with dynamical analysis

Published by

Computational and Mathematical Methods

Summary

journal-article

Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis

Published by

Computational and Mathematical Methods

Summary

journal-article

Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications

Published by

Computational and Mathematical Methods

Summary

journal-article

Extending the applicability of Newton's method for a class of boundary value problems using the shooting method

Published by

Applied Mathematics and Computation

Summary

journal-article

Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space

Published by

International Journal of Computational Methods

Summary

journal-article

Convergence and Dynamics of a Higher-Order Method

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Symmetry

Summary

journal-article

Convergence and Dynamics of a Higher-Order Method

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Symmetry

Summary

journal-article

Convergence and dynamics of a higher-order method

Published by

Symmetry

Summary

journal-article

Convergence and Dynamics of a Higher-Order Method

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Symmetry

Summary

journal-article

New Improvement of the Domain of Parameters for Newton’s Method

Published by

Mathematics

Summary

journal-article

New Improvement of the Domain of Parameters for Newton’s Method

Published by

Mathematics

Summary

journal-article

New improvement of the domain of parameters for newton's method

Published by

Mathematics

Summary

journal-article

New Improvement of the Domain of Parameters for Newton's Method

Published by

Mathematics

Summary

journal-article

Ball convergence for combined three-step methods under generalized conditions in banach space

Published by

Studia Universitatis Babes-Bolyai Mathematica

Summary

journal-article

Ball convergence for combined three-step methods under generalized conditions in Banach space

Published by

Studia Universitatis Babeș-Bolyai Mathematica

Summary

journal-article

Extending the applicability of Newton?s method for a class of boundary value problems using the shooting method

Published by

Applied Mathematics and Computation

Summary

journal-article

From digital cinema to cloud computing in the film consumption of young Ecuadorians

Published by

Cuadernos.info

Summary

journal-article

Ball convergence for a derivative free method with memory for solving nonlinear equations

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Communications on Applied Nonlinear Analysis

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journal-article

From digital cinema to cloud computing in the film consumption of young Ecuadorians

Published by

Cuadernos.info

Summary

journal-article

Extending the usage of Newton's method with applications to the solution of Bratu's equation

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Mathematics

Summary

journal-article

Extending the Usage of Newton’s Method with Applications to the Solution of Bratu’s Equation

Published by

Mathematics

Summary

journal-article

Extending the Usage of Newton’s Method with Applications to the Solution of Bratu’s Equation

Published by

Mathematics

Summary

journal-article

Extending the Usage of Newton's Method with Applications to the Solution of Bratu's Equation

Published by

Mathematics

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journal-article

An optimal and efficient general eighth-order derivative free scheme for simple roots

Published by

Journal of Computational and Applied Mathematics

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journal-article

An optimal and efficient general eighth-order derivative free scheme for simple roots

Published by

Journal of Computational and Applied Mathematics

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journal-article

Local convergence of Cauchy-type methods under hypotheses on the first derivative

Published by

International Journal of Computational Vision and Robotics

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journal-article

IMPROVED CONVERGENCE ANALYSIS OF MIXED SECANT METHODS FOR PERTURBED SUBANALYTIC VARIATIONAL INCLUSIONS

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Journal of Nonlinear Functional Analysis

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journal-article

Local convergence of a one parameter fourth-order jarratt-type method in banach spaces

Published by

Commentationes Mathematicae Universitatis Carolinae

Summary

journal-article

Local convergence of a one parameter fourth-order Jarratt-type method in Banach spaces

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Commentationes Mathematicae Universitatis Carolinae

Summary

journal-article

Newton’s method for convex optimization

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SEMA SIMAI Springer Series

Summary

book-chapter

Newton's Method for Convex Optimization

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ADVANCES IN DISCRETIZATION METHODS: DISCONTINUITIES, VIRTUAL ELEMENTS, FICTITIOUS DOMAIN METHODS

Summary

journal-article

ON NEWTON'S METHOD FOR SEMISMOOTH EQUATIONS

Published by

Journal of Nonlinear Functional Analysis

Summary

journal-article

Local convergence for an improved Jarratt-type method in Banach space

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International Journal of Interactive Multimedia and Artificial Intelligence

Summary

journal-article

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods

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Journal of Function Spaces

Summary

journal-article

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods

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Journal of Function Spaces

Summary

journal-article

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

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Journal of Complexity

Summary

journal-article

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

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Journal of Complexity

Summary

journal-article

Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces

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Applied Mathematics and Computation

Summary

journal-article

Extending the applicability of Newton's method for k-Frechet differentiable operators in Banach spaces

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Applied Mathematics and Computation

Summary

journal-article

Majorizing sequences for Newton's method under centred conditions for the derivative

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International Journal of Computer Mathematics

Summary

journal-article

Majorizing sequences for Newton's method under centred conditions for the derivative

Published by

International Journal of Computer Mathematics

Summary

journal-article

A GENERAL SEMILOCAL CONVERGENCE RESULT FOR NEWTON'S METHOD UNDER CENTERED CONDITIONS FOR THE SECOND DERIVATIVE

Published by

ESAIM: Mathematical Modelling and Numerical Analysis

Summary

journal-article

A modification of the classic conditions of Newton-Kantorovich for Newton's method

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Mathematical and Computer Modelling

Summary

journal-article

A modification of the classic conditions of Newton-Kantorovich for Newton's method

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Mathematical and Computer Modelling

Summary

journal-article

Convergence of level-wise convolution differential estimators

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Summary

book

On the local convergence of Newton's method under generalized conditions of Kantorovich

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Applied Mathematics Letters

Summary

journal-article

On the local convergence of Newton's method under generalized conditions of Kantorovich

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Applied Mathematics Letters

Summary

journal-article

Unified majorizing sequences for Traub-type multipoint iterative procedures

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Numerical Algorithms

Summary

journal-article

Unified majorizing sequences for Traub-type multipoint iterative procedures

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Numerical Algorithms

Summary

journal-article

A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type

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Applied Mathematics and Computation

Summary

journal-article

A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type

Published by

Applied Mathematics and Computation

Summary

journal-article

Majorizing sequences for Newton's method from initial value problems

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

Majorizing sequences for Newton's method from initial value problems

Published by

Journal of Computational and Applied Mathematics

Summary

journal-article

How to apply Newton's method to operators with unbounded second derivative

Published by

AIP Conference Proceedings

Summary

conference-paper

How to Apply Newton's Method to Operators with Unbounded Second Derivative

Published by

AIP Conference Proceedings

Summary

conference-paper