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Rank deficiency of a data matrix is equivalent to the existence of an exact linear model for the data. For the purpose of linear static modeling, the matrix is unstructured and the corresponding modeling problem is an approximation of the matrix by another matrix of a lower rank. In the context of linear time-invariant dynamic models, the appropriate data matrix is Hankel and the corresponding modeling problems becomes structured low-rank approximation. Low-rank approximation has applicationsdoi:10.1016/j.sigpro.2013.09.021 fatcat:ccqgdlyfjbdgjbm2gat6qgqi24