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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > PERMANENT ESTIMATORS:
Reports tagged with Permanent estimators:
TR09-103 | 26th October 2009
Vikraman Arvind, Srikanth Srinivasan

On the Hardness of the Noncommutative Determinant

In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutative determinant polynomial. Then, more generally, we also examine the complexity of computing the determinant (as a function) over noncommutative domains. Our hardness results are summarized below:

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