Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Stepan Shakhno"'
Autor:
Ioannis K. Argyros, Santhosh George, Stepan Shakhno, Samundra Regmi, Mykhailo Havdiak, Michael I. Argyros
Publikováno v:
Mathematics, Vol 12, Iss 7, p 1069 (2024)
The implementation of Newton’s method for solving nonlinear equations in abstract domains requires the inversion of a linear operator at each step. Such an inversion may be computationally very expensive or impossible to find. That is why alternati
Externí odkaz:
https://doaj.org/article/3a71a427a17a43c9bc1fec5972eb3b2f
Publikováno v:
Symmetry, Vol 16, Iss 3, p 330 (2024)
Symmetric-type methods (STM) without derivatives have been used extensively to solve nonlinear equations in various spaces. In particular, multi-step STMs of a higher order of convergence are very useful. By freezing the divided differences in the me
Externí odkaz:
https://doaj.org/article/25c4c543efbb41a09009b3f7092f1103
Publikováno v:
Computation, Vol 11, Iss 3, p 49 (2023)
A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences. Special cas
Externí odkaz:
https://doaj.org/article/749d5d98a013481db5a70228aa026d24
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2548 (2022)
The study of the microworld, quantum physics including the fundamental standard models are closely related to the basis of symmetry principles. These phenomena are reduced to solving nonlinear equations in suitable abstract spaces. Such equations are
Externí odkaz:
https://doaj.org/article/3ecc54a5891741e4b63534a21bf14a1c
Publikováno v:
Symmetry, Vol 15, Iss 1, p 15 (2022)
A plethora of quantum physics problems are related to symmetry principles. Moreover, by using symmetry theory and mathematical modeling, these problems reduce to solving iteratively finite differences and systems of nonlinear equations. In particular
Externí odkaz:
https://doaj.org/article/8d3e05d99ef54bd78d8e08aed268d515
Publikováno v:
Algorithms, Vol 16, Iss 1, p 2 (2022)
A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the met
Externí odkaz:
https://doaj.org/article/2fd3baf3a654464a839a0b81fe59c59c
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2206 (2022)
Symmetries play an important role in the study of a plethora of physical phenomena, including the study of microworlds. These phenomena reduce to solving nonlinear equations in abstract spaces. Therefore, it is important to design iterative methods f
Externí odkaz:
https://doaj.org/article/2a09ad2610e947f6891138127fe5eca7
Publikováno v:
Mathematics, Vol 10, Iss 16, p 2931 (2022)
A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in a
Externí odkaz:
https://doaj.org/article/1e71dd66a95a4c74a2e9b89bf27265d6
Publikováno v:
Axioms, Vol 10, Iss 3, p 158 (2021)
We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and deter
Externí odkaz:
https://doaj.org/article/e6123698d8dc4eb2b61d055f674e9c60
Publikováno v:
Symmetry, Vol 12, Iss 7, p 1093 (2020)
Solving equations in abstract spaces is important since many problems from diverse disciplines require it. The solutions of these equations cannot be obtained in a form closed. That difficulty forces us to develop ever improving iterative methods. In
Externí odkaz:
https://doaj.org/article/1e081c30fcc34cc4903051af4c3d1075