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math.NA2024
On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt
Erin Carson, Kathryn Lund, Yuxin Ma +1
Interest in communication-avoiding orthogonalization schemes for high-performance computing has been growing recently. This manuscript addresses open questions about the numerical…
math.NA2024★ 6 cited
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt
Erin Carson, Kathryn Lund, Yuxin Ma +1
Block classical Gram-Schmidt (BCGS) is commonly used for orthogonalizing a set of vectors in distributed computing environments due to its favorable communication properties re…
math.NA2024
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares
Erin Carson, Eda Oktay
With the recent emergence of mixed precision hardware, there has been a renewed interest in its use for solving numerical linear algebra problems fast and accurately. The solution…