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 Tr. Inst. Mat., 2017, Volume 25, Number 1, Pages 27–38 (Mi timb266)

The convergence of successive approximations method for $p$-adic matrices

P. P. Zabreiko

Belarusian State University, Minsk

Abstract: The article deals with the necessary and sufficient conditions for the convergence of successive approximations of approximate solving linear systems with $p$-adic coefficients. Also, some modifications of these conditions for linear equations in Banach spaces over the field of $p$-adic numbers are presented.

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UDC: 517.98 (075.8)

Citation: P. P. Zabreiko, “The convergence of successive approximations method for $p$-adic matrices”, Tr. Inst. Mat., 25:1 (2017), 27–38

Citation in format AMSBIB
\Bibitem{Zab17} \by P.~P.~Zabreiko \paper The convergence of successive approximations method for $p$-adic matrices \jour Tr. Inst. Mat. \yr 2017 \vol 25 \issue 1 \pages 27--38 \mathnet{http://mi.mathnet.ru/timb266}