Orthogonal Projectors and Systems of Linear Algebraic Equations

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1134/S1995423920030064

Аннотация: 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 consistentПоказать полностьюsystems of linear algebraic equations is proposed. Numerical results are presented. ABSTRACT: In this paper, an operator iterative procedure for constructing anorthogonal projection of a vector onto a given subspace is proposed. Thealgorithm is based on Euclidean orthogonalization of power sequences ofa special linear transform generated by an initial subspace. A numericalmethod based on this idea for solving consistent systems of linearalgebraic equations is proposed. Numerical results are presented. © 2020, Pleiades Publishing, Ltd.

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Издание

Журнал: NUMERICAL ANALYSIS AND APPLICATIONS

Выпуск журнала: Vol. 13, Is. 3

Номера страниц: 262-270

ISSN журнала: 19954239

Место издания: NOVOSIBIRSK

Издатель: SIBERIAN BRANCH RUSSIAN ACAD SCIENCES

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