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math.NA2024★ 1 cited
Developing robust incomplete Cholesky factorizations in half precision arithmetic
Jennifer Scott, Miroslav Tůma
Incomplete factorizations have long been popular general-purpose algebraic preconditioners for solving large sparse linear systems of equations. Guaranteeing the factorization is b…
math.NA2024
Avoiding breakdown in incomplete factorizations in low precision arithmetic
Jennifer Scott, Miroslav Tůma
The emergence of low precision floating-point arithmetic in computer hardware has led to a resurgence of interest in the use of mixed precision numerical linear algebra. For linear…