3 papers
math.NA2026
NR-SSOR right preconditioned RRGMRES for arbitrary singular systems and least squares problems
Kouta Sugihara, Ken Hayami
GMRES is known to determine a least squares solution of where without breakdown for arbitrary , and initial iterate $ x_0 \in R^n…
math.NA2025
Superlinear Convergence of GMRES for clustered eigenvalues and its application to least squares problems
Zeyu Liao, Ken Hayami
The objective of this paper is to understand the superlinear convergence behavior of the GMRES method when the coefficient matrix has clustered eigenvalues. In order to understand…
math.NA2024
Right preconditioned GMRES for arbitrary singular systems
Kota Sugihara, Ken Hayami
Brown and Walker (1997) showed that GMRES determines a least squares solution of where without breakdown for arbitrary $ b, x_0 \in {\bf…