Solving nonlinear inverse problems by evolution equations based on Gauss-Newton methods

Jin, Qinian

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Solving nonlinear inverse problems by evolution equations based on Gauss-Newton methods

Date

2013

Authors

Jin, Qinian

Publisher

Taylor & Francis Group

Abstract

In this article, we solve nonlinear inverse problems by an evolution equation method which can be viewed as the continuous analogue of the Gauss-Newton method. Under certain conditions we prove the convergence and derive the rate of convergence when the discrepancy principle is coupled.