## Fast Projection-Based Solvers for the Non-Convex Quadratically Constrained Feasibility Problem

- Konstantinos Slavakis, Aritra Konar, Nikos D. Sidiropoulos
- 2018 IEEE International Conference on Acousticsâ€¦
- 2018

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@inproceedings{Polak1990MethodOS, title={Method of Successive Projections for Finding a Common Point of Sets in Metric Spaces}, author={Elijah Polak}, year={1990} }

- Published 1990

Many problems in applied mathematics can be abstracted into finding a common point of a finite collection of sets. If all the sets are closed and convex in a Hilbert space, the method of successive projections (MOSP) has been shown to converge to a solution point, i.e., a point in the intersection of the sets. These assumptions are however not suitable for a broad class of problems. In this paper, we generalize the MOSP to collections of approximately compact sets in metric spaces. We firstâ€¦Â CONTINUE READING

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