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On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices. / Бурова, Ирина Герасимовна; Кальницкая, Марина Алексеевна; Малевич, Александр Владиславович.

в: WSEAS Transactions on Mathematics, Том 17, 01.01.2018, стр. 13-19.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Бурова, ИГ, Кальницкая, МА & Малевич, АВ 2018, 'On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices', WSEAS Transactions on Mathematics, Том. 17, стр. 13-19.

APA

Бурова, И. Г., Кальницкая, М. А., & Малевич, А. В. (2018). On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices. WSEAS Transactions on Mathematics, 17, 13-19.

Vancouver

Бурова ИГ, Кальницкая МА, Малевич АВ. On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices. WSEAS Transactions on Mathematics. 2018 Янв. 1;17:13-19.

Author

Бурова, Ирина Герасимовна ; Кальницкая, Марина Алексеевна ; Малевич, Александр Владиславович. / On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices. в: WSEAS Transactions on Mathematics. 2018 ; Том 17. стр. 13-19.

BibTeX

@article{905ce6288c604b2385ce12fbab33bb80,
title = "On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices",
abstract = "In this paper, we present the results of a numerical solution to ill-posed systems of linear algebraic equations (SLAEs) with positive definite symmetric matrices by a regularization method. In the paper it is shown that for the regularization of a computational process by the Tikhonov method it is sufficient to replace matrix of the system by matrix + where is the unit matrix, and is some positive numbers (the regularization parameters) that tend to zero.",
keywords = "Hilbert matrices, Ill-posed systems of linear algebraic equations, Regularization parameters",
author = "Бурова, {Ирина Герасимовна} and Кальницкая, {Марина Алексеевна} and Малевич, {Александр Владиславович}",
year = "2018",
month = jan,
day = "1",
language = "English",
volume = "17",
pages = "13--19",
journal = "WSEAS Transactions on Mathematics",
issn = "1109-2769",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - On the numerical solution of system of linear algebraic equations with positive definite symmetric ill-posed matrices

AU - Бурова, Ирина Герасимовна

AU - Кальницкая, Марина Алексеевна

AU - Малевич, Александр Владиславович

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper, we present the results of a numerical solution to ill-posed systems of linear algebraic equations (SLAEs) with positive definite symmetric matrices by a regularization method. In the paper it is shown that for the regularization of a computational process by the Tikhonov method it is sufficient to replace matrix of the system by matrix + where is the unit matrix, and is some positive numbers (the regularization parameters) that tend to zero.

AB - In this paper, we present the results of a numerical solution to ill-posed systems of linear algebraic equations (SLAEs) with positive definite symmetric matrices by a regularization method. In the paper it is shown that for the regularization of a computational process by the Tikhonov method it is sufficient to replace matrix of the system by matrix + where is the unit matrix, and is some positive numbers (the regularization parameters) that tend to zero.

KW - Hilbert matrices

KW - Ill-posed systems of linear algebraic equations

KW - Regularization parameters

UR - http://www.scopus.com/inward/record.url?scp=85052097135&partnerID=8YFLogxK

M3 - Article

VL - 17

SP - 13

EP - 19

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 32594496