Research output: Contribution to journal › Article › peer-review
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.
In: WSEAS Transactions on Mathematics, Vol. 17, 01.01.2018, p. 13-19.Research output: Contribution to journal › Article › peer-review
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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