2 problems
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Block Lanczos successive-iteration interlacing conjecture
Let be a symmetric matrix and let be a block vector. Let be the largest index such that the block Krylov subspace…
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Conjecture on minimum singular values for sparse and full Krylov spaces
Let the Krylov matrix be formed from a random matrix with non-zeros per column as in the preceding minimum singular value bound, and consider both the sparse Krylov con…