3 papers
math.NA2025
Instability of the Sherman-Morrison formula and stabilization by iterative refinement
Behnam Hashemi, Yuji Nakatsukasa
Owing to its simplicity and efficiency, the Sherman-Morrison (SM) formula has seen widespread use across various scientific and engineering applications for solving rank-one pertur…
math.NA2024
A sequential multilinear Nyström algorithm for streaming low-rank approximation of tensors in Tucker format
Alberto Bucci, Behnam Hashemi
We present a sequential version of the multilinear Nyström algorithm which is suitable for the low-rank Tucker approximation of tensors given in a streaming format. Accessing the t…
math.NA2021
Rectangular eigenvalue problems
Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
Often the easiest way to discretize an ordinary or partial differential equation is by a rectangular numerical method, in which n basis functions are sampled at m>>n collocation po…