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In this paper we offer a review and bibliography of work on Hankel low-rankapproximation and completion, with particular emphasis on how this methodologycan be used for time series analysis and forecasting. We begin by describingpossible formulations of the problem and offer commentary on related topics andchallenges in obtaining globally optimal solutions. Key theorems are provided,and the paper closes with some expository examples.

Hankel low-rank approximation and completion in time series analysis and forecasting: a brief review