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- W2007248246 abstract "The main result of this paper is the formulation of an explicit expression for the condition number of the truncated least squares solution of $Ax=b$. This expression is given in terms of the singular values of $A$ and the Fourier coefficients of $b$. The result is derived using the notion of the Fréchet derivative together with the product norm on the data $[A,b]$ and the 2-norm on the solution. Numerical experiments are given to confirm our results by comparing them to those obtained by means of a finite difference approach." @default.
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- W2007248246 date "2014-01-01" @default.
- W2007248246 modified "2023-10-16" @default.
- W2007248246 title "The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem" @default.
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- W2007248246 doi "https://doi.org/10.1137/120869286" @default.
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