A second degree method for nonlinear inverse problems Academic Article

abstract

• The paper is concerned with the solution of nonlinear ill-posed problems by methods that utilize the second derivative. A general predictor-corrector approach is developed; one which avoids solving quadratic equations during the iteration process. Combining regularization of each iteration step with an adequate stopping condition leads to a general regularization scheme for nonlinear equations. Possible implementations and discussion of the performance of this method are illustrated by applications to some well-known inverse problems.

authors

• Rundell, William

published proceedings

• SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

• Hettlich, F., & Rundell, W.

citation count

• 58

complete list of authors

• Hettlich, F||Rundell, W

publication date

• January 2000

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Numerical Analysis  Journal

keywords

• Domain Derivative
• Iterative Regularization Methods
• Nonlinear Ill-posed Problems

Digital Object Identifier (DOI)

• 10.1137/S0036142998341246

URI

• https://hdl.handle.net/1969.1/179675

start page

• 587

end page

• 620

volume

• 37

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1137%2Fs0036142998341246