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Title: Fast Parallel Matrix and GCD Computations
Authors: Borodin, Allan B.
Von zur Gathen, Joachim
Hopcroft, John E.
Keywords: computer science
technical report
Issue Date: Apr-1982
Publisher: Cornell University
Abstract: We present parallel algorithms to compute the determinant and characteristic polynomial of n x n-matrices and the gcd of polynomials of degree $\leq$n. The algorithms use parallel time $O(\log^{2}n)$ and a polynomial number of processors. We also give a fast parallel Monte Carlo algorithm for the rank of matrices. All algorithms work over arbitrary fields.
Appears in Collections:Computer Science Technical Reports

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