Abstract
This paper is an exposition of the basic theory of regularization for an ill-posed linear operator equation subject to a linear operator constraint. The ordinary theory of regularization is subsumed as a special case. The theory is developed by changing the geometric structure of the underlying Hilbert space and invoking well known results on generalized inverses. In addition to the basic theory, the convergence of an approximation method, including a finite element implementation, is considered.
Partially supported by a grant from the National Science Foundation.
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© 1986 Springer-Verlag Berlin Heidelberg
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Groetsch, C.W. (1986). Regularization with linear equality constraints. In: Talenti, G. (eds) Inverse Problems. Lecture Notes in Mathematics, vol 1225. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072663
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DOI: https://doi.org/10.1007/BFb0072663
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