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- W2076151337 abstract "For α∊C, the αth Hadamard power of an m×n matrix A is defined entrywise: where the principal branch of the logarithm is used to define the exponential. It is proven here that if α is nonintegral and A is a rank 1 matrix whose entries are chosen at random, then the rank of A (α) has a hypergeometric distribution. If A is also positive semidefinite Hermitian, then the rank of A (α) has a binomial distribution on the odd integers. These distributions are independent of α." @default.
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- W2076151337 date "1993-08-01" @default.
- W2076151337 modified "2023-09-24" @default.
- W2076151337 title "Distributions of the ranks of hadamard powers" @default.
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- W2076151337 doi "https://doi.org/10.1080/03081089308818263" @default.
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