On the Convergence of an Algorithm Computing Minimum-Norm Solutions of Ill-Posed Problems

@inproceedings{Marti2010OnTC,
  title={On the Convergence of an Algorithm Computing Minimum-Norm Solutions of Ill-Posed Problems},
  author={By J. T. Marti},
  year={2010}
}
  • By J. T. Marti
  • Published 2010
The paper studies a finite element algorithm giving approximations to the minimum-norm solution of ill-posed problems of the form Af = g, where A is a bounded linear operator from one Hubert space to another. It is shown that the algorithm is norm convergent in the general case and an error bound is derived for the case where g is in the range of A A*. As an example, the method has been applied to the problem of evaluating the second derivative / of a function g numerically. 

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