Title :
Newton-type method with double regularization parameters for nonlinear ill-posed problems
Author :
Meng, Zehong ; Zhao, Zhenyu
Author_Institution :
Sch. of Math. & Stat., Zhejiang Univ. Of Finance & Econ., Hangzhou, China
Abstract :
In this paper, we present a Newton-type method with double regularization parameters for nonlinear ill-pose problems. The key step in the process that a reasonable choice rule to determine these two regularization parameters is presented. And the convergence and the stability of the method are discussed. Numerical experiment shows the effectiveness of the method.
Keywords :
Newton method; convergence; nonlinear equations; Newton-type method; convergence; double regularization parameter; nonlinear ill-posed problem; Convergence; Educational institutions; Finance; Hilbert space; Inverse problems; Mathematics; Nonlinear equations; Oceans; Stability; Statistics; Newton-type method; convergence; double regularization parameters; nonlinear ill-posed problems;
Conference_Titel :
Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-4754-1
Electronic_ISBN :
978-1-4244-4738-1
DOI :
10.1109/ICICISYS.2009.5358383
