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- W101081523 abstract "We study an upper bound of ranks of $n$-tensors with size $2timescdotstimes2$ over the complex and real number field. We characterize a $2times 2times 2$ tensor with rank 3 by using the Cayley's hyperdeterminant and some function. Then we see another proof of Brylinski's result that the maximal rank of $2times2times2times2$ complex tensors is 4. We state supporting evidence of the claim that 5 is a typical rank of $2times2times2times2$ real tensors. Recall that Kong and Jiang show that the maximal rank of $2times2times2times2$ real tensors is less than or equal to 5. The maximal rank of $2times2times2times2$ complex (resp. real) tensors gives an upper bound of the maximal rank of $2timescdotstimes 2$ complex (resp. real) tensors." @default.
- W101081523 created "2016-06-24" @default.
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- W101081523 date "2013-06-04" @default.
- W101081523 modified "2023-09-27" @default.
- W101081523 title "Rank of tensors with size 2 x ... x 2" @default.
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