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Perturbation of systems of linear algebraic equations ∗
Authors:Jiu Ding
Institution:Department of Mathematics , The University of Southern Mississippi , Hattiesburg, MS, 39406-5045, USA
Abstract:A classical perturbation result for nonsingular systems of linear algebraic equations is extended to general consistent systems under any norm. An optimal perturbation result is also obtained for general linear least squares problems under a Euclidean norm.
Keywords:Least squares solution  generalized inverse  AMS Subject Classifications: 15A09  65F20
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