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Deterministic computation of the Frobenius form

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1 Author(s)
Storjohann, A. ; Ontario Res. Centre for Comput. Algebra, Univ. of Western Ontario, London, Ont., Canada

A deterministic algorithm for computing the Frobenius canonical-form of a matrix over a field is described. A similarity transformation-matrix is recovered in the same time. The algorithm is nearly optimal, requiring about the same number of field operations as required for matrix multiplication. Previously-known reductions to matrix multiplication are probabilistic.

Published in:

Foundations of Computer Science, 2001. Proceedings. 42nd IEEE Symposium on

Date of Conference:

8-11 Oct. 2001