PCG is proved to reach O(u)-level backward error without the usual tiny-recursive-residual assumption, enabling low-precision preconditioners; a new split PCG variant avoids a known low-precision accuracy loss.
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Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm
PCG is proved to reach O(u)-level backward error without the usual tiny-recursive-residual assumption, enabling low-precision preconditioners; a new split PCG variant avoids a known low-precision accuracy loss.