On local convergence of the method of alternating projections (Q285438)
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scientific article; zbMATH DE number 6259022
- Convergence of Linesearch and Trust-Region Methods Using the Kurdyka–Łojasiewicz Inequality
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On local convergence of the method of alternating projections |
scientific article; zbMATH DE number 6259022 |
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On local convergence of the method of alternating projections (English)
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Convergence of Linesearch and Trust-Region Methods Using the Kurdyka–Łojasiewicz Inequality (English)
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19 May 2016
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18 February 2014
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This paper considers the method of alternating projections in solving the feasibility problem. The concept of separable intersection of two closed sets is introduced. The Hölder regularity is compared to older regularity concepts including the prox-regularity, Clarke regularity and superregularity. The subanalytic sets are shown to intersect separably and the convergence results for subanalytic sets are deduced. The local convergence of an averaged projection method is established. Finally, some limiting examples are provided.
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local convergence
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subanalytic set
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separable intersection
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tangential intersection
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Hölder regularity
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Gerchberg-Saxton error reduction
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numerical example
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method of alternating projections
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backtracking
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descent method
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Kurdyka-Łojasiewicz inequality
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line search
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memorized steplength
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nonlinear optimization
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trust-region
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algorithm
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convergence
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0.93202925
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0.9267528
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0.92546463
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0.92335415
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0.92112994
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0.91743314
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