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Stable Matrix-Free Q-less QR via Preconditioning and Randomization

Balabanov, Oleg et al.
arXiv (All) · Papers
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numerical-analysis
This article develops matrix-free Q-less QR algorithms for orthogonalizing tall linear operators. Our main algorithm, CQRRTO, uses randomized preconditioning to make a single Cholesky QR pass numerically safe for any numerically full-rank operator, overcoming the stability issues of Cholesky QR and
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