Matrix Transforms of Summability Domains of Zweier Method
Vol. 5 (2018), Articles
Vol. 5 (2018)

Matrix Transforms of Summability Domains of Zweier Method

Articles
https://doi.org/10.15377/2409-5761.2018.05.2
Published 2018-12-11
Ants Aasma
Tallinn University of Technology, Akadeemia tee 3, 12618 Tallinn, Estonia
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Keywords

Matrix transforms, Factorable matrices, Zweier method, 2010 Mathematics Subject Classification: 40C05, 40G99.

How to Cite

Ants Aasma. (2018). Matrix Transforms of Summability Domains of Zweier Method. Journal of Advances in Applied & Computational Mathematics, 5, 12–15. https://doi.org/10.15377/2409-5761.2018.05.2
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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.

https://doi.org/10.15377/2409-5761.2018.05.2
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References

Aasma A, Dutta H, Natarajan PN. An Introductory Course in Summability Theory. John Wiley & Sons: Hoboken 2017. https://doi.org/10.1002/9781119397786

Aasma A. Characterization of matrix transformations of summability fields. Acta et Comment Univ. Tartuensis 1991; 928: 3-14.

Aasma A. Transformations of summability fields. Acta et Comment Univ. Tartuensis 1987; 770: 38-51 (in Russian).

Boos J. Classical and modern methods in summability. Oxford University Press: Oxford 2000.

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