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Title: Piecewise Differentiable Minimization for Ill-posed Inverse Problems
Authors: Li, Yuying
Keywords: theory center
Issue Date: Aug-1996
Publisher: Cornell University
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.
Appears in Collections:Cornell Theory Center Technical Reports

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