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.
Publications, pre-prints, and technical reports
- Kathryn Lund, The tensor t-function: a definition for functions of third-order tensors, arXiv:1806.07261, July 2018. Revised November 2019. Accepted January 2020 to Numerical Linear Algebra and Applications. The associated software can be found on Gitlab, as a test script of B(FOM)^2.
- Daniel Kressner, Kathryn Lund, Stefano Massei, and Davide Palitta. Compress-and-restart block Krylov subspace methods for Sylvester matrix equations. Report, 2020. In preparation.
- Stefan Güttel, Daniel Kressner, and Kathryn Lund. Limited-memory polynomial methods for large-scale matrix functions. Report, 2020. In preparation.
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices II: Modified block FOM, Research Report 19-04-10, April 2019. Revised October 2019. The associated software can be found on Gitlab.
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices, Electronic Transactions on Numerical Analysis, Vol. 47 (2017), pp. 100-126. The associated software can be found on 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 (2017), pp. 710-732.
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 given in the following technical report:
- Sepideh Adhmadi, Sacha F. Gritzbach, Kathryn Lund-Nguyen, and Devita McCullough-Amal, Rolling Stock Rotation Optimization in Days of Strike: An Automated Approach for Creating an Alternative Timetable, August 2015.
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.