ROR-BK, a regularized block-Kaczmarz variant with residual-based dynamic blocks and orthogonality-based sampling, is claimed to accelerate ill-conditioned linear solves, but its central convergence theorem is flawed.
Kushida, Condition number estimation of preconditioned matrices , PLoS One, 10 (2015), p
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A fast solver for ill-conditioned linear systems using randomized stable solutions of its blocks
ROR-BK, a regularized block-Kaczmarz variant with residual-based dynamic blocks and orthogonality-based sampling, is claimed to accelerate ill-conditioned linear solves, but its central convergence theorem is flawed.