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Halley’s method
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we are concerned with the problem of approximating a locally unique solution x* of the nonlinear equation F(x) = 0, where F is twice Fréchet-differentiable operator defined on a nonempty open and convex ...
Information problem-solving skills training with flipped methodology in a virtual environment
(ICERI Proceedings, 2019)
The need to solve information problems is a constant in the academic field. Most Higher Education students are extremely competent using Internet and social networks and really skilled in the use of smart phones. However, ...
Introduction, Construction, Usage, and Management of MOOCs in China
(Lecture Notes in Educational Technology, 2018)
Chinese higher education which is in the critical stage of comprehensive reform shows great enthusiasm in face of the emerging MOOCs and has begun to consciously pay attention to the development of online education. China’s ...
Overview of Research on Chinese MOOCs
(Lecture Notes in Educational Technology, 2018)
MOOCs have been in the spotlight since its debut in China in 2012. Later, MOOC platforms and relevant courses developed by different organizations sprung up like mushrooms. Now MOOCs can be seen in multiple forms in practice ...
Toward a general theory of point to point iterative processes free of derivatives with quadratic convergence
(AIP Conference Proceedings, 2018)
In this work, we are concerned with the problem of developing a general theory about derivative-free iterative procedures with quadratic convergence. Newton's method is the most used, well-known and studied in order to ...
On a Newton-type family of high-order iterative methods for some matrix functions
(AIP Conference Proceedings, 2018)
The main goal of this paper is to approximate some matrix functions by using a family of high-order Newton-type iterative methods. We analyse the semilocal convergence and the speed of convergence of these methods. Concerning ...
Local convergence and basins of attraction of a two-step Newton-like method for equations with solutions of multiplicity greater than one
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
Let S = ℝ or S = ℂ, D ⊆ S be convex and let F : D → S be a differentiable function. We shall approximate solutions x of the equation F(x) = 0, (5.1) Many problems from Applied Sciences including engineering can be solved ...
Secant-like methods in chemistry
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we provide different semilocal and local results for the convergence of secant-like methods in order to expand the solvability of nonlinear equations. Different numerical examples and chemical applications ...
Using the self-evaluation as a motivational and learning tool
(EDULEARN Proceedings, 2019)
Evaluation is an educational tool to promote effective learning that can involve students with more guarantees of achieving successfully the objectives. In this way, our objective is the development of strategies to improve ...
Building capacity of university educators to work with open practices beyond OER: a case study
(12th International Technology, Education and Development Conference (INTED), 2018)
Adopting open practices in higher education bears the potential to increase quality, access and effectiveness of the educational offer of universities, as well as to improve their impact on society and reputation. Because ...