A New Interactive Certificate for Matrix Rank

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2015-1078-11.pdf (160.32 KB)

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2015-07-07

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Abstract

A new interactive certificate for matrix rank, based on the certification of a maximal nonsingular submatrix, is described. Versions of this for matrices over abstract fields and integer matrices are each described.

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Interactive certificates, black box matrix computations, randomized algorithms, computa- tions over finite fields, matrix rank

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http://hdl.handle.net/1880/50543

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