3 papers
math.NA2026
Factorized Krylov subspace methods for solving large Sylvester equations
Yuki Satake, Takeshi Fukaya, Tomohiro Sogabe +1
Krylov subspace methods, such as the Conjugate Gradient (CG) and BiCGSTAB methods, are widely used in scientific computing for solving linear systems. In this study, we propose a n…
cs.DC2026
Reducing Internal State in Eigenvalue-Only Divide-and-Conquer Tridiagonal Eigensolvers
Ruiyi Zhan, Shaoshuai Zhang
Divide and Conquer (D&C) is a widely used algorithmic strategy for symmetric eigenvalue decomposition. Its natural parallelism makes D&C attractive on modern multicore CPUs and GPU…
cs.MS2025
Pipelined Dense Symmetric Eigenvalue Decomposition on Multi-GPU Architectures
Hansheng Wang, Ruiyi Zhan, Dajun Huang +6
Large symmetric eigenvalue problems are commonly observed in many disciplines such as Chemistry and Physics, and several libraries including cuSOLVERMp, MAGMA and ELPA support comp…