6 citations · 7 across the 7 of their papers we have counts for
8 papers
Elliptic master integrals and the one-loop cosmological wavefunction
Amara McCune, Matthew D. Schwartz
Loop corrections to the cosmological wavefunction involve similar integrals to those required for scattering amplitudes. For the one-loop triangle of a conformally coupled scalar,…
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…
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…
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…
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems
Eda Oktay, Erin Carson
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…
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt
Eda Oktay, Erin Carson
Using lower precision in algorithms can be beneficial in terms of reducing both computation and communication costs. Motivated by this, we aim to further the state-of-the-art in de…
Mixed Precision GMRES-based Iterative Refinement with Recycling
Eda Oktay, Erin Carson
With the emergence of mixed precision capabilities in hardware, iterative refinement schemes for solving linear systems have recently been revisited and reanalyzed in the co…
Multistage Mixed Precision Iterative Refinement
Eda Oktay, Erin Carson
Low precision arithmetic, in particular half precision floating point arithmetic, is now available in commercial hardware. Using lower precision can offer significant savings in co…