Convergence analyses of the born iterative method and the distorted born iterative method

The Born iterative method(BIM) and the distorted Born iterative method (DBIM) in inverse scattering problem are analyzed. The sufficient conditions of the object function for the convergence of the BIM and the DBIM are derived.

Saved in:
Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 20; no. 3-4; pp. 301 - 316
Main Authors Jun, Sung Chan, Jin Choi, U.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Marcel Dekker, Inc 01.01.1999
Taylor & Francis
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations
Sciences and techniques of general use
Refraction index
Bounded operator
Iterative method
Green function
Convergence
Non linear equation
Homogeneous medium
Distorted method
Three dimensional model
Scattering problem
Born iterative method
Diffusion equation
Integral equation
Online AccessGet full text

Cover

More Information
Summary:The Born iterative method(BIM) and the distorted Born iterative method (DBIM) in inverse scattering problem are analyzed. The sufficient conditions of the object function for the convergence of the BIM and the DBIM are derived.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630569908816893