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.
Saad, Preconditioning techniques for nonsymmetric and indefinite linear systems , Journal of Computational and Applied Mathematics, 24 (1988), pp
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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.