an:05632883
Zbl 1182.65085
Xu, J.; Han, B.; Li, L.
Frozen Landweber iteration for nonlinear ill-posed problems
EN
Acta Math. Appl. Sin., Engl. Ser. 23, No. 2, 329-336 (2007).
00194520
2007
j
65J15 65J20 47J06 45G10 65R20 47H30
regularization; Landweber iteration; numerical examples; nonlinear ill-posed problems; convergence; performance; nonlinear Hammerstein integral equation
Summary: We propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.