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math.NA2026
Numerically Stable Cholesky-QR on GPU via Mixed-Precision Randomized Preconditioning
James E. Garrison, Chao Chen, Ilse C. F. Ipsen
Cholesky-QR is among the fastest algorithms for computing the thin QR factorization of tall-and-skinny matrices on GPUs, relying entirely on BLAS-3 operations. However, it is numer…
math.NA2026
Perturbation Analysis for Preconditioned Normal Equations in Mixed Precision
James E. Garrison, Ilse C. F. Ipsen
For real matrices of full column-rank, we analyze the conditioning of several types of normal equations that are preconditioned by a randomized preconditioner computed in lower pre…