Abstract
A class of dampled Morozov principles is introduced to determine the regularization parameter for the least squares formulation of nonlinear illposed inverse problems. Their asymptotic behavior as the error level in the data converges to zero is studied and a numerical examples is given which shows that a damped Morozov principlecan be superior to the Morozov principle.
Zusammenfassung
Eine Klasse gedämpfter Morozov'scher Prinzipien zur Bestimmung des Regularisierungsparameters in schlechtgestellten nichtlinearen inversen Problemen wird eingeführt und ihr asymptotisches Verhalten wird analysiert. an Hand eines Beispiels wird gezeigt, daß das gedämpfte Morozov'sche Prinzip bessere numerische Resultate als das klassische Morozov Prinzip liefern kann.
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Supported in part by the Fonds zu Förderung der wissienschiaftlichen Forschung, Austria, under P7869-PHY and by the Bundesministerium für Wissenschaft und Forschung.
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Kunisch, K. On a class of damped Morozov principles. Computing 50, 185–198 (1993). https://doi.org/10.1007/BF02243810
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DOI: https://doi.org/10.1007/BF02243810