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Elliptic Quadratic Operator Equations |
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| Authors: | Ganikhodzhaev Rasul Mukhamedov Farrukh Saburov Mansoor |
| Affiliation: | 1.Faculty of Mechanics & Mathematics, National University Uzbekistan, Tashkent, Uzbekistan ;2.Department of Mathematical Sciences, College of Science, The United Arab Emirates University, P.O. Box, 15551, Al Ain, Abu Dhabi, UAE ;3.Mathematics Department, College of Engineering and Technology, American University of the Middle East, P.O. Box, 54200, Egaila, Kuwait ; |
| Abstract: | The paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space. We provide necessary and sufficient conditions for the existence of solutions of elliptic quadratic operator equations. The iterative Newton-Kantorovich method for stable solutions is also presented. |
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