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On inverse problems in partially ordered spaces with a priori information
-
Yury M. Korolev
and
Anatoly G. Yagola
Published/Copyright:
October 2, 2012
Abstract.
We consider ill-posed inverse problems for linear operator equations 
in Banach lattices with a priori information that the exact solution belongs to a compact set. We provide an error estimate for an approximate solution to the ill-posed problem. We also show the existence of a supremum and infimum of the set of approximate solutions and their convergence to the exact solution. After finite-dimensional approximation the problem of computation of the bounds is reduced to a linear programming problem.
Received: 2012-04-09
Published Online: 2012-10-02
Published in Print: 2012-10-01
© 2012 by Walter de Gruyter Berlin Boston
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- Preface
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