A discrepancy principle for equations with monotone continuous operators

Details A discrepancy principle for equations with monotone continuous operators A discrepancy principle for equations with monotone continuous operators

2009-03-03

arxiv.org/abs/0903.0553v1

Mathematics

Numerical Analysis

13 pages

Scientific paper

A discrepancy principle for solving nonlinear equations with monotone
operators given noisy data is formulated. The existence and uniqueness of the
corresponding regularization parameter $a(\delta)$ is proved. Convergence of
the solution obtained by the discrepancy principle is justified. The results
are obtained under natural assumptions on the nonlinear operator.

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