Journal Articles Published/Accepted:
E. Carson, K. Lund, Y. Ma, E. Oktay, Reorthogonalized Pythagorean variants of block classical Gram-Schmidt, in arXiv preprint arXiv:2405.01298 (2024) (to appear in SIAM Journal on Matrix Analysis and Applications).
E. Oktay, and E. Carson, Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems , Numerical Algorithms, 2023, doi: 10.1007/s11075-023-01665-z.
E. Oktay, and E. Carson, Multistage Mixed Precision Iterative Refinement, Numerical Linear Algebra with Applications, e2434, 2022, doi: 10.1002/nla.2434.
Conference Proceedings (Refereed) Published/Accepted:
E. Carson and E. Oktay, Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares, in Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. ENUMATH 2023. Lecture Notes in Computational Science and Engineering, doi: 10.1007/978-3-031-86173-4_23.
E. Oktay, and E. Carson, Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt, in Proc. Appl. Math. Mech., 23, e202200060, 2023, doi:10.1002/pamm.202200060.
E. Oktay, and E. Carson, Mixed Precision GMRES-based Iterative Refinement with Recycling , in Proceedings of Programs and Algorithms of Numerical Mathematics (PANM), Czech Republic, June 19-24, 2022, pp. 149-162, doi: 10.21136/panm.2022.14.
Technical Reports
E. Carson, K. Lund, Y. Ma, E. Oktay, On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt, in arXiv preprint arXiv:2408.10109 (2024).
Theses
Doctoral Thesis: Mixed Precision Computations in Numerical Linear Algebra (2024)
Supervised by Erin Carson
Master's Thesis: Reevaluating Spectral Partitioning for Unsymmetric Matrices (2020)
Supervised by Murat Manguoglu, Hamdullah Yucel (co-advisor)