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About: Block Lanczos algorithm     Goto   Sponge   NotDistinct   Permalink

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In computer science, the block Lanczos algorithm is an algorithm for finding the nullspace of a matrix over a finite field, using only multiplication of the matrix by long, thin matrices. Such matrices are considered as vectors of tuples of finite-field entries, and so tend to be called 'vectors' in descriptions of the algorithm. It is based on, and bears a strong resemblance to, the Lanczos algorithm for finding eigenvalues of large sparse real matrices.