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math.NA2010
A contribution to the conditioning of the total least squares problem
Marc Baboulin, Serge Gratton
We derive closed formulas for the condition number of a linear function of the total least squares solution. Given an over determined linear system Ax=b, we show that this conditio…
math.NA2007
Computing the Conditioning of the Components of a Linear Least Squares Solution
Marc Baboulin, Jack Dongarra, Serge Gratton +1
In this paper, we address the accuracy of the results for the overdetermined full rank linear least squares problem. We recall theoretical results obtained in Arioli, Baboulin and…