• REGULARIZATION OF ILL-CONDITIONED LINEAR SYSTEMS
Abstract
In this paper, we examined various regularization methods for obtaining meaningfully approximations to ill-conditioned linear systems. The methods considered include; Preconditioning, Truncated Singular Value Decomposition (T.S.V.D) and Tikhonov Regularization. These methods were applied to obtain stable solution estimates for the Hilbert system, Boundary Value Problems (B.V.P) and Discretized Fredholm Integral Equation of the First Kind. Also, different methods for choosing an optimal regularization parameter including the L-Curve method were considered.
Keywords
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2024 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |