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• W2002881330 abstract "The space of m×p totally nonnegative real matrices has a stratification into totally nonnegative cells. The largest such cell is the space of totally positive matrices. There is a well-known criterion due to Gasca and Pena for testing a real matrix for total positivity. This criterion involves testing mp minors. In contrast, there is no known small set of minors for testing for total nonnegativity. In this paper, we show that for each of the totally nonnegative cells there is a test for membership which only involves mp minors, thus extending the Gasca and Pena result to all totally nonnegative cells." @default.
• W2002881330 created "2016-06-24" @default.
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• W2002881330 date "2013-09-17" @default.
• W2002881330 modified "2023-09-24" @default.
• W2002881330 title "Efficient Recognition of Totally Nonnegative Matrix Cells" @default.
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• W2002881330 doi "https://doi.org/10.1007/s10208-013-9169-5" @default.
• W2002881330 hasPublicationYear "2013" @default.
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