Reduction of huge, sparse matrices over finite fields via created catastrophes. (English) Zbl 0771.65023

Authors’ summary: We present a heuristic method for the reduction modulo 2 of a large, sparse bit matrix to a smaller, dense bit matrix that can then be solved by conventional means, such as Gaussian elimination. This method worked effectively for us in reducing matrices as large as \(100,000\times 100,000\) to much smaller, but denser square matrices.


65F30 Other matrix algorithms (MSC2010)
65F50 Computational methods for sparse matrices
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