Research
Current interests
- Numerical linear algebra and scientific computing in general
- f(A)b, i.e., the computation of a matrix function times a vector
- Krylov subspace methods
- High-performance computing
- Multilinear algebra
You can follow me on ResearchGate, Google Scholar, or LinkedIn.
block_Krylov_Luminy2019.pdfFor an overview of my thesis and related papers, check out the poster I presented at a recent conference at CIRM in Luminy, France. I'm quite fond of the color scheme, and the format is modified from the "better poster" LaTeX template. Feel free to contact me for my TeX files. To cite the poster, please use the DOI 10.13140/RG.2.2.31030.45127, generated by ResearchGate.
Publications, pre-prints, and technical reports
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices II: Modified block FOM, SIAM Journal on Matrix Analysis and Applications, 41(2), pp. 804--837, 2020. The associated software can be found on my Gitlab.
- Daniel Kressner, Kathryn Lund, Stefano Massei, and Davide Palitta. Compress-and-restart block Krylov subspace methods for Sylvester matrix equations. Report, 2020. Submitted. Associated software can be found on my Gitlab.
- Stefan Güttel, Daniel Kressner, and Kathryn Lund. Limited-memory polynomial methods for large-scale matrix functions. Report, 2020. To appear in GAMM Mitteilungen.
- Kathryn Lund, The tensor t-function: a definition for functions of third-order tensors, Numerical Linear Algebra with Applications, 27 (3), e2288, 2020. The published version is identical in terms of content to the latest arXiv version. The associated software can be found on my Gitlab, as a test script of B(FOM)^2.
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices, Electronic Transactions on Numerical Analysis, Vol. 47, pp. 100--126, 2017. The associated software can be found on my Gitlab.
- Andreas Frommer, Kathryn Lund, Marcel Schweitzer, and Daniel B. Szyld, The Radau-Lanczos method for matrix functions, SIAM Journal on Matrix Analysis and Applications, 38(3), pp. 710--732, 2017.
Past work and interests
Train schedule optimization
In the summer of 2015, I spent two months at the Zuse Institut Berlin working on train schedule optimization as a part of GRIPS (Graduate-level Research in Industrial Projects for Students), a program coordinated in part by the Institute for Pure and Applied Mathematics. A summary of my team's work is provided as a technical report.
Traffic modeling
As an undergraduate at Temple University, I researched traffic modeling under Benjamin Seibold. I presented my work, Five Dimensions of Traffic as a poster for the 2012 Undergraduate Research Symposium at Temple University and also for Mid-Atlantic Numerical Analysis Day 2012.