Yu. R. Akopian, R. Z. Hovhannisyan, “On the two-level preconditioning in least squares method”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 1, 7

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 1, Pages 7–15 (Mi uzeru43)

Mathematics

On the two-level preconditioning in least squares method

Yu. R. Akopian, R. Z. Hovhannisyan

Yerevan State University

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Abstract: In the present paper an approach to construct algebraic two-level preconditioners for the matrices of normal systems arising in data fitting by least squares method with piecewise linear basis functions is proposed. The approach is based on using hierarchical grids with their subdivision into substructures and corresponding partition of the matrices. Estimates for condition numbers of preconditioned matrices are obtained.

Keywords: least squares method, normal system, condition number.

Received: 24.09.2013
Revised: 16.10.2013

Document Type: Article

MSC: Primary 65D10; Secondary 65F08

Language: English

Citation: Yu. R. Akopian, R. Z. Hovhannisyan, “On the two-level preconditioning in least squares method”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 1, 7–15

Citation in format AMSBIB

\Bibitem{HakHov14}

\by Yu.~R.~Akopian, R.~Z.~Hovhannisyan

\paper On the two-level preconditioning in least squares method

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2014

\issue 1

\pages 7--15

\mathnet{http://mi.mathnet.ru/uzeru43}

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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