MAXIMUM-ENTROPY METHOD FOR SOLVING OPERATOR-EQUATIONS OF THE FIRST KIND

Authors
JIN QN HOU ZY
Citation
Qn. Jin et Zy. Hou, MAXIMUM-ENTROPY METHOD FOR SOLVING OPERATOR-EQUATIONS OF THE FIRST KIND, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(5), 1997, pp. 483-493
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
40
Issue
5
Year of publication
1997
Pages
483 - 493
Database
ISI
SICI code
1001-6511(1997)40:5<483:MMFSOO>2.0.ZU;2-F
Abstract
The maximum entropy method for linear ill-posed problems with modeling error and noisy data is considered and the stability and convergence results are obtained. When the maximum entropy solution satisfies the source condition'', suitable rates of convergence can be derived. Cons idering the practical applications, an a posteriori choice for the reg ularization parameter is presented. As a byproduct, a characterization of the maximum entropy regularized solution is given.