Matrix rank certification

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Matrix rank certification

Randomized algorithms are given for computing the rank of a matrix over a field of characteristic zero with conjugation operator. The matrix is treated as a black box. Only the capability to compute matrix×column-vector and row-vector×matrix products is used. The methods are exact, sometimes called seminumeric. They are appropriate for example for matrices with integer or rational entries. The ...

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 2004

ISSN: 1081-3810

DOI: 10.13001/1081-3810.1118