Perturbation of least squares problem in Hilbert spaces. (Q1854997)

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scientific article; zbMATH DE number 1860887
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Perturbation of least squares problem in Hilbert spaces.
scientific article; zbMATH DE number 1860887

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    Perturbation of least squares problem in Hilbert spaces. (English)
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    28 January 2003
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    Let \(X\), \(Y\) be two Hilbert spaces and \(T: X\to Y\) be a bounded linear operator with closed range. The authors present some estimates related to the least squares solution for the equation \(Tx= y\). One of the main tools in their analysis is the reduced minimum modulus \(r(T)\).
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    Moore-Penrose inverse
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    least square solution
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    reduced minimum modulus
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