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Orthogonal Projectors and Systems of Linear Algebraic Equations

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ABSTRACT

In this paper, an operator iterative procedure for constructing an orthogonal projection of a vector onto a given subspace is proposed. The algorithm is based on Euclidean orthogonalization of power sequences of a special linear transform generated by an initial subspace. A numerical method based on this idea for solving consistent systems of linear algebraic equations is proposed. Numerical results are presented.

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Authors and Affiliations

  1. Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia

    I. V. Kireev

  2. Institute of Mathematics and Fundamental Informatics, Siberian Federal University, 660041, Krasnoyarsk, Russia

    I. V. Kireev

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  1. I. V. Kireev
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Correspondence to I. V. Kireev.

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Kireev, I.V. Orthogonal Projectors and Systems of Linear Algebraic Equations. Numer. Analys. Appl. 13, 262–270 (2020). https://doi.org/10.1134/S1995423920030064

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  • DOI: https://doi.org/10.1134/S1995423920030064

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