A geometric view of Krylov subspace methods on singular systems

Author:

Hayami Ken,Sugihara Masaaki

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference44 articles.

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2. CGS: a fast Lanczos-type solver for nonsymmetric linear systems;Sonneveld;SIAM Journal on Statistical and Scientific Computing,1989

3. Bi-CGSTAB: a more smoothly converging variant of CG-S for the solution of nonsymmetric linear systems;van der Vorst;SIAM Journal on Statistical and Scientific Computing,1992

4. QMR: a quasi-minimal residual method for non-Hermitian linear systems;Freund;Numerische Mathematik,1991

5. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems;Freund;SIAM Journal on Scientific Computing,1993

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1. On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems;Advances in Computational Mathematics;2024-07-19

2. GMRES using pseudoinverse for range symmetric singular systems;Journal of Computational and Applied Mathematics;2023-04

3. On the preconditioned MINRES method for solving singular linear systems;Computational and Applied Mathematics;2022-09-05

4. A stabilized GMRES method for singular and severely ill-conditioned systems of linear equations;Japan Journal of Industrial and Applied Mathematics;2022-03-28

5. Corrigendum 2 to: A geometric view of Krylov subspace methods on singular systems;Numerical Linear Algebra with Applications;2021-03-09

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