Multiparameter analogues of iterative aggregation methods

Kopach Mykhailo Ivanovych; Shuvar Bohdan Antonovych; Shuvar  N. O.

Kopach Mykhailo Ivanovych ¹ , Shuvar Bohdan Antonovych ² , Shuvar N. O. ³

¹ Department of Mathematical and Functional Analysis, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76018, Ukraine

² Department of Higher Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine

³ Taras Shevchenko National University of Kyiv, Kyiv, 01033, Ukraine

Keywords: convergence conditions, iterative aggregation methods, linear continuous operators, compression operators

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Abstract

Sufficient conditions for the convergence of a class of multiparametric iterative-aggregation methods. Under the theorems assumptions there is no requirement on positive operators and aggregate functional, and on the corresponding linear continuous operators to be operators of compression.

References

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Cite

ACS Style: Kopach, M.I.; Shuvar, B.A.; Shuvar , N.O. Multiparameter analogues of iterative aggregation methods. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Kopach MI, Shuvar BA, Shuvar NO. Multiparameter analogues of iterative aggregation methods. Bukovinian Mathematical Journal. 2016; 3(1).
Chicago/Turabian Style: Mykhailo Ivanovych Kopach, Bohdan Antonovych Shuvar, N. O. Shuvar . 2016. "Multiparameter analogues of iterative aggregation methods". Bukovinian Mathematical Journal. 3 no. 1.

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