Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces |
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Affiliation: | Department of Mathematics, The University of Southern Mississippi Hattiesburg, MS 39406-5045, U.S.A. |
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Abstract: | Let X and Y be Hilbert spaces, and let T : X → Y be a bounded linear operator with closed range. In this paper, we present an optimal perturbation result on the least squares solutions to the operator equation Tx = y under the most general condition. |
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