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…
quant-ph2025
LREI: A fast numerical solver for quantum Landau-Lifshitz equations
Davoud Mirzaei, Behnam Hashemi, Vahid Azimi-Mousolou
We develop LREI (Low-Rank Eigenmode Integration), a memory- and time-efficient scheme for solving quantum Landau-Lifshitz (q-LL) and quantum Landau-Lifshitz-Gilbert (q-LLG) equatio…
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…