This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research focused on advancing the capabilities of Krylov subspace methods - a popular class of computational algorithms used across various engineering, scientific, and technological domains. The $324,998 award to the Massachusetts Institute of Technology (MIT) will fund four specific research projects over a 3-year period from July 2025 to June 2028. The projects aim to: (1) examine the feasibility of a new complex moment method technique, (2) develop efficient algorithms for computing matrix functions for graph-related problems, (3) introduce a class of problems to provide insight into error estimates for Krylov subspace methods, and (4) introduce an algorithm to recover an orthogonal matrix from a finite moment sequence. This research is expected to further the understanding of Krylov subspace algorithm behavior and robustness, and create new computational tools for fundamental mathematical tasks.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $325.0k | 6/11/25 |