Articles

A mixed Newton-Tikhonov method for nonlinear ill-posed problems

Expand
  • Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received date: 2008-10-14

  Revised date: 2009-05-13

  Online published: 2009-06-01

Abstract

Newton type methods are one kind of the efficient methods to solve nonlinear ill-posed problems, which have attracted extensive attention. However, computational cost of Newton type methods is high because practical problems are complicated. We propose a mixed Newton-Tikhonov method, i.e., one step Newton-Tikhonov method with several other steps of simplified Newton-Tikhonov method. Convergence and stability of this method are proved under some conditions. Numerical experiments show that the proposed method has obvious advantages over the classical Newton method in terms of computational costs.

Cite this article

Chuan-Gang KANG;Guo-qiang HE . A mixed Newton-Tikhonov method for nonlinear ill-posed problems[J]. Applied Mathematics and Mechanics, 2009 , 30(6) : 741 -752 . DOI: 10.1007/s10483-009-0608-2

Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals