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math.NA2026
TriCG with deflated restarting for symmetric quasi-definite linear systems
Kui Du, Jia-Jun Fan
TriCG is a short-recurrence iterative method recently introduced by Montoison and Orban [SIAM J. Sci. Comput., 43 (2021), pp. A2502--A2525] for solving symmetric quasi-definite (SQ…
math.NA2025
GP-CMRH: An inner product free iterative method for block two-by-two nonsymmetric linear systems
Kui Du, Jia-Jun Fan
We propose an inner product free iterative method called GP-CMRH for solving block two-by-two nonsymmetric linear systems. GP-CMRH relies on a new simultaneous Hessenberg process t…
math.NA2024
Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods
Kui Du, Jia-Jun Fan, Fang Wang
It is well known that for singular inconsistent range-symmetric linear systems, the generalized minimal residual (GMRES) method determines a least squares solution without breakdow…