GET THE SOURCE FROM THE FLUX
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Abstract
By measuring the flux (the reaction), the unknown source (the action) in some differential equation can be identified .For this inverse problem, there are two approaches .The Kaczmarz's method which is the same as SOR method (successive over – relaxation) and the Moore's generalized inverse operator .All of these methods are extended to deal with any Hilbert spaces (not necessarily pivot spaces). Some numerical examples are presented.
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