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Nonlinear Ill-posed equations
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we provide an extended the analysis of the Lavrentiev regularization for nonlinear ill-posed problems F(x) = y, where F : D(F) ⊆ X → X is a nonlinear monotone operator considered in [22].
Lavrentiev Regularization methods for Ill-posed equations
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter, we consider the problem of approximately solving the nonlinear ill-posed operator equation of the form F(x) = y, (9.1) where F : D(F) ⊂ X → X is a monotone operator and X is a real Hilbert space. We denote ...
Robust convergence for inexact newton method
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
The main task this chapter is to use the iterative methods to find solutions x of the equation F(x) = 0, (7.1) where D : D ⊂ X → Y is a Fréchet-differentiable operator X, Y are Banach spaces and D ⊂ X. Many problems from ...
Holographic tools for science learning
(Communications in Computer and Information Science, LTEC 2017, 2017-08)
The purpose of the present work is the design of a technological tool that improves meaningful learning in the teaching of science subjects. For this, a sample of 6th and 7th grade students from the educational institution ...