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- W3093503721 abstract "We study the problem of low-rank matrix completion for symmetric matrices. The minimum rank of a completion of a generic partially specified symmetric matrix depends only on the location of the specified entries, and not their values, if complex entries are allowed. When the entries are required to be real, this is no longer the case and the possible minimum ranks are called typical ranks. We give a combinatorial description of the patterns of specified entries of n×n symmetric matrices that have n as a typical rank. Moreover, we describe exactly when such a generic partial matrix is minimally completable to rank n. We also characterize the typical ranks for patterns of entries with low maximal typical rank." @default.
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- W3093503721 date "2021-07-01" @default.
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- W3093503721 title "Typical ranks in symmetric matrix completion" @default.
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- W3093503721 doi "https://doi.org/10.1016/j.jpaa.2020.106603" @default.
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