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- W1750995033 abstract "Let denote the set of matrices with entries in . We write to denote the subset of , all of whose entries are non-negative. Let denote the set of all real symmetric matrices. A matrix is said to be completely positive if there is some matrix such that . The CP-rank of the matrix is the smallest such that for some . In this article, we shall investigate the linear operators on that preserve sets of matrices defined by the CP-rank. We classify those that preserve the CP-rank function, those that preserve the set of CP-rank-1 matrices, those that preserve the sets of CP-rank-1 matrices and the set of CP-rank-2 matrices, and those that strongly preserve the set of CP-rank-1 matrices." @default.
- W1750995033 created "2016-06-24" @default.
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- W1750995033 date "2015-09-03" @default.
- W1750995033 modified "2023-10-03" @default.
- W1750995033 title "Preservers of completely positive matrix rank" @default.
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- W1750995033 doi "https://doi.org/10.1080/03081087.2015.1082960" @default.
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