CONVERGENCE-RATES OF REGULARIZED SOLUTIONS OF NONLINEAR ILL-POSED OPERATOR-EQUATIONS INVOLVING MONOTONE-OPERATORS

Authors
YANG HQ HOU ZY
Citation
Hq. Yang et Zy. Hou, CONVERGENCE-RATES OF REGULARIZED SOLUTIONS OF NONLINEAR ILL-POSED OPERATOR-EQUATIONS INVOLVING MONOTONE-OPERATORS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(3), 1998, pp. 252-259
Citations number
9
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
41
Issue
3
Year of publication
1998
Pages
252 - 259
Database
ISI
SICI code
1001-6511(1998)41:3<252:CORSON>2.0.ZU;2-K
Abstract
The convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators are investigated, and conditions that guarantee convergence rates like O(delta 1/2), O(delta 2/3), and O(delta n/n+1) are given, where delta denotes the noise lev el of the data perturbation.