Technical Reports

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UBC CS TR-81-10 Summary

Pitfalls in the Numerical Solution of Linear Ill-Posed Problems, January 1981 James M. Varah

Very special computational difficulties arise when attempting to solve linear systems arising from integral equations of the first kind. We examine here existence and uniqueness questions associated with so-called \underline{reasonable} solutions for such problems, and present results using the best- known methods on inverse Laplace transform problems. We also discuss the choice of free parameters occurring in these methods, from the same point of view.


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