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Iterative Algorithms for Solving the Partial Eigenvalue Problem for Symmetric Interval Matrixes

Alimzhan IbragimovDepartment of Informatics, Faculty of Mathematics and Informatics, Navoi State Pedagogical Institute, UzbekistanDilafruz KhamroevaDepartment of Informatics, Faculty of Mathematics and Informatics, Navoi State Pedagogical Institute, Uzbekistan
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Аннотация

In this paper, we consider iterative methods for solving a partial eigenvalue problem for real symmetric interval matrices. Such matrices have applications in modeling many technical problems where a lot of data suffers from limited variation or uncertainty. In modeling most applied problems, when some parameter values fluctuate with a known amplitude, then it can be considered that it is advisable to use interval methods. The algorithms proposed by us are built on the basis of the power method and its modification, the so-called

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