Publié le : 2010-09-15
Classification:
Ill-posed problems,
inverse problems,
noisy right hand side,
noisy operator,
Tikhonov regularization,
Hilbert scales,
generalized discrepancy principle,
order optimal error bounds,
Newton's method,
global convergence,
monotone convergence,
47A52,
65F22,
65J20,
65M30
@article{1287409300,
author = {Lu, S. and Pereverzev, S.V. and Shao, Y. and Tautenhahn, U.},
title = {On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales},
journal = {J. Integral Equations Appl.},
volume = {22},
number = {1},
year = {2010},
pages = { 483-517},
language = {en},
url = {http://dml.mathdoc.fr/item/1287409300}
}
Lu, S.; Pereverzev, S.V.; Shao, Y.; Tautenhahn, U. On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. J. Integral Equations Appl., Tome 22 (2010) no. 1, pp. 483-517. http://gdmltest.u-ga.fr/item/1287409300/