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# Iterative exponential filtering for large discrete ill-posed problems

@article{Calvetti1999IterativeEF, title={Iterative exponential filtering for large discrete ill-posed problems}, author={Daniela Calvetti and Lothar Reichel and Qin Zhang}, journal={Numerische Mathematik}, year={1999}, volume={83}, pages={535-556} }

- Published 1999 in Numerische Mathematik
DOI:10.1007/s002119900077

We describe a new iterative method for the solution of large, very ill-conditioned linear systems of equations that arise when discretizing linear ill-posed problems. The right-hand side vector represents the given data and is assumed to be contaminated by measurement errors. Our method applies a lter function of the form ' (t) := 1 ?exp(?t 2) with the purpose of reducing the innuence of the errors in the right-hand side vector on the computed approximate solution of the linear system. Here is… CONTINUE READING