Theoretical and Numerical Study of Tikhonov's Regularization and Morozov's Discrepancy Principle

A concept of a well-posed problem was initially introduced by J. Hadamard in 1923, who expressed the idea that every mathematical model should have a unique solution, stable with respect to noise in the input data. If at least one of those properties is violated, the problem is ill-posed (and unstab...

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Bibliographic Details
Main Author: Whitney, MaryGeorge L.
Format: Others
Published: Digital Archive @ GSU 2009
Subjects:
Online Access:http://digitalarchive.gsu.edu/math_theses/77
http://digitalarchive.gsu.edu/cgi/viewcontent.cgi?article=1082&context=math_theses