Abstract
In this paper, we propose an accelerated homotopy-perturbation-Kaczmarz iteration based on sequential subspace optimization method for solving nonlinear systems of inverse problems. The method is to iteratively project the initial value onto stripes the width of which are controlled by the search direction, the forward operator and the noise level to expedite the convergence. Under some general assumptions, we provide the convergence and regularization analysis for the proposed method. Finally, two numerical examples on inverse potential problems are presented to illustrate the effectiveness of reconstructing the solution and acceleration effect of the method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
