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Preprint

Elliptic Quadratic Operator Equations

Rasul GanikhodjaevFaculty of Mechanics & Mathematics , National University Uzbekistan , Tashkent , UzbekistanFarrukh MukhamedovDepartment of Mathematical Sciences , College of Science , The United Arab Emirates University , P.O. Box , 15551 , Al Ain , Abu Dhabi , UAEMansoor SaburovDepartment of Computational & Theoretical Sciences , Faculty of Science , Inter- national Islamic University Malaysia , P.O. Box , 25200 , Kuantan , Pahang , Malaysia
2017en
ABI

Annotatsiya

In the present 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 is also presented for stable solutions.

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