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- W2000558454 abstract "An $m times n$ matrix $E$ with $n$ ones and $(m - 1)n$ zeros, which satisfies the Pólya condition, may be regular and singular for Birkhoff interpolation. We prove that for random distributed ones, $E$ is singular with probability that converges to one if $m$, $n to infty$. Previously, this was known only if $m geqslant (1 + delta )n/log n$. For constant $m$ and $n to infty$, the probability is asymptotically at least $tfrac {1} {2}$." @default.
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- W2000558454 date "1981-02-01" @default.
- W2000558454 modified "2023-09-25" @default.
- W2000558454 title "Probability and interpolation" @default.
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- W2000558454 doi "https://doi.org/10.1090/s0002-9947-1981-0632539-0" @default.
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