Numerical Methods for Separable Nonlinear Inverse Problems with Constraint and Low Rank

In this age, there are many applications of inverse problems to lots of areas ranging from astronomy, geoscience and so on. For example, image reconstruction and deblurring require the use of methods to solve inverse problems. Since the problems are subject to many factors and noise, we can't simply apply general inversion methods. Furthermore in the problems of interest, the number of unknown variables is huge, and some may depend nonlinearly on the data, such that we must solve nonlinear problems. It is quite different and significantly more challenging to solve nonlinear problems than linear inverse problems, and we need to use more sophisticated methods to solve these kinds of problems.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2017

Author dc:creator

• Cho, Taewon

Chair dc:contributor.committeechair

• Chung, Julianne

Committee members dc:contributor.committeemember

• Chung, Matthias
• Embree, Mark P.

• Nonlinear Inverse Problem
• Image Deblurring
• Gauss-Newton method
• Variable Projection
• Alternating Optimization

Statement dc:rights

• Creative Commons Attribution 3.0 United States

Licence dc:rights.uri

• http://creativecommons.org/licenses/by/3.0/us/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/82929

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/82929