ON REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS

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MAZIAR SALAHI

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Journal: Journal of Operational Research in its Applications Year:2008 | Volume:5 | Issue:17 Page(s): 43-49

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Title

ON REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS

Author(s)

MAZIAR SALAHI | Issue Writer Certificate

Keywords

ILL-CONDITIONED LINEAR SYSTEMS

GMRES METHODS

TIKHONOV REGULARIZATION

Abstract

ILL-CONDITIONED LINEAR SYSTEMS may frequently arise in discretization of integral equations and many other real world applications. Solving such systems by classical methods might fail or result to solutions that are meaningless from practical point view. Moreover a slight perturbation in the right hand side vector might also lead to an enormous change of the solution vector due to ill-conditioned ness. To find meaningful solutions of such systems, the TIKHONOV REGULARIZATION is an effective technique that has been widely used. In this paper we use it to solve ILL-CONDITIONED LINEAR SYSTEMS and also to find closest feasible linear systems to nearly feasible linear systems by smallest changes in problem data. Throughout the paper numerical results are reported to demonstrate the practical efficiency of the presented algorithms.

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APA: Copy

MAZIAR, SALAHI. (2008). ON REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 5(17), 43-49. SID. https://sid.ir/paper/573143/en

Vancouver: Copy

MAZIAR SALAHI. ON REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2008;5(17):43-49. Available from: https://sid.ir/paper/573143/en

IEEE: Copy

SALAHI MAZIAR, “ON REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 5, no. 17, pp. 43–49, 2008, [Online]. Available: https://sid.ir/paper/573143/en

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