Piecewise Differentiable Minimization for Ill-posed Inverse Problems
| dc.contributor.author | Li, Yuying | en_US |
| dc.date.accessioned | 2007-04-04T16:31:31Z | |
| dc.date.available | 2007-04-04T16:31:31Z | |
| dc.date.issued | 1996-08 | en_US |
| dc.description.abstract | Based on minimizing a piece wise differentiable lp function subject to a single inequality constraint, this paper discusses algorithms for a discretized regularization problem for ill-posed inverse problems. We examine computational challenges of solving this regularization problem. Possible minimization algorithms such as the steepest descent method, iteratively weighted least squares (IRLS) method and a recent globally convergent affine scaling Newton approach are considered. Limitations and efficiency of these algorithms are demonstrated using the geophysical travel time tomographic inversion and image restoration applications. | en_US |
| dc.format.extent | 243521 bytes | |
| dc.format.extent | 243192 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.citation | http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/96-252 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1813/5583 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Cornell University | en_US |
| dc.subject | theory center | en_US |
| dc.title | Piecewise Differentiable Minimization for Ill-posed Inverse Problems | en_US |
| dc.type | technical report | en_US |