The algorithm is randomized of the Las Vegas type, and either returns the correct answer ("yes" or "no"), or returns fail with probability less than 1/2. This ...
Jul 28, 2009 · The rank certification algorithm for integer matrices we present in this paper does not compute a nullspace of the matrix: we only assay if ...
Rank certification is required to obtain fast certified algorithms for more complicated problems such as computing the null-space and Smith normal form, both of ...
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A Las Vegas algorithm for computing the rank of an 2-n x 2-m integer matrix, with an expected number of log ||nmr ω--2 log |||| bit operations, is presented ...
Matrix Rank Certification ... Integer matrix rank. The rank of an integer ... Algorithm Rank-certificate-using-trace can be adapted to the case of a dense integer.
Request PDF | Matrix Rank Certification | Randomized algorithms are given for computing the rank of a matrix over a field of characteristic zero.
... rank of integer matrices inSection 4 and give concluding remarks in Section 5.2. Rank Certificate using Trace.The problem is to compute the rank ofa given ...
Apr 17, 2019 · They are appropriate for example for matrices with integer or rational entries. The rank algorithms are probabilistic of the Las Vegas type ...
A new interactive certificate for matrix rank, based on the certification of a maximal nonsingular submatrix, is described. Versions of this for matrices over ...
Jun 16, 2024 · Are you thinking of it as a matrix over the commutative ring of integers, or just a matrix with integer entries considered as a matrix over the ...
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