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math.NA2026
High-dimensional extreme eigenvalue problems: low-rank tensor parametrization and optimization
Pengfei Hao, Renfeng Peng, Yang Kuang +1
High-dimensional extreme eigenvalue problems often arise from molecular vibrational models, electronic structure calculations, and quantum mechanics. Directly solving these problem…
math.NA2024
A novel splitting strategy to accelerate solving generalized eigenvalue problem from Kohn--Sham density functional theory
Yang Kuang, Guanghui Hu
In this paper, we propose a novel eigenpair-splitting method, inspired by the divide-and-conquer strategy, for solving the generalized eigenvalue problem arising from the Kohn-Sham…