2 papers
math.NA2026
A Structure-Preserving LOBPCG Method for Computing Several of the Largest Generalized Singular Triplets
Xinyu Shan
We develop a structure-preserving locally optimal block preconditioned conjugate gradient(LOBPCG) method for computing several of the largest positive generalized singular values o…
math.NA2026
A Structure-Preserving LOBPCG Algorithm for the Bethe-Salpeter Eigenvalue Problem
Xinyu Shan, Meiyue Shao
The Bethe-Salpeter eigenvalue problem is a structured eigenvalue problem arising in many-body physics. In practice, a few of the smallest positive eigenvalues and the corresponding…