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Matrix Transforms of Summability Domains of Zweier Method

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Title: Matrix Transforms of Summability Domains of Zweier Method

Authors: Ants Aasma

Journal: Journal of advances in applied & computational mathematics

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Year: 2018

Volume: 5

Language: en

DOI: 10.15377/2409-5761.2018.05.2

Keywords: Matrix transformsFactorable matricesZweier method2010 Mathematics Subject Classification: 40C0540G99.

Categories
Matrix Theory (13) Analysis (236) Summability Theory (3) Mathematics (5170)

Abstract

Let Z1/2 be the Zweier method, and B and M matrices with real or complex entries. In the present paper, we find necessary and sufficient conditions for M to be transform from the summability domain of Z1/2 into the summability domain of B if B is lower triangular. For an infinite matrix B, we consider only sufficient conditions.

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