Publications

You can also find my articles on my Google Scholar profile.

Preprints

Stochastic Rounding Increases Small Singular Values

Published in arXiv, 2026

SR regularizes beyond extreme aspect ratios, lifting entire clusters at the tail of the singular value spectrum.

Recommended citation: Linkai Ma, Tingzhou Yu, and Petros Drineas. (2026). "Stochastic Rounding Increases Small Singular Values." arXiv preprint arXiv:2606.00312.
Download Paper

Journal Articles

A Note on the Stability of the Sherman–Morrison–Woodbury Formula

Published in SIAM Journal on Matrix Analysis and Applications (SIMAX), 2026

Forward/backward error stability analysis for SMW.

Recommended citation: Linkai Ma, Christos Boutsikas, Mehrdad Ghadiri, and Petros Drineas. (2026). "A Note on the Stability of the Sherman–Morrison–Woodbury Formula." SIAM Journal on Matrix Analysis and Applications, 47(2), 702-723.
Download Paper

Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices

Published in SIAM Journal on Matrix Analysis and Applications (SIMAX), 2025

Regularization effect of SR on smallest singular values of tall and thin matrices.

Recommended citation: Gregory Dexter, Christos Boutsikas, Linkai Ma, Ilse C. F. Ipsen, and Petros Drineas. (2025). "Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices." SIAM Journal on Matrix Analysis and Applications, 46(1), 341-369.
Download Paper