MRCQR stabilizes Cholesky-QR for high-condition-number matrices using a mixed-precision randomized trigonometric transform preconditioner, achieving double-precision orthogonality up to condition number 10^16 while being faster than standard methods on GPUs.
Mixed-precisi on Cholesky QR factorization and its case studies on multicore CPU with m ultiple GPUs,
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Numerically Stable Cholesky-QR on GPU via Mixed-Precision Randomized Preconditioning
MRCQR stabilizes Cholesky-QR for high-condition-number matrices using a mixed-precision randomized trigonometric transform preconditioner, achieving double-precision orthogonality up to condition number 10^16 while being faster than standard methods on GPUs.