A single-step iteration method for non-Hermitian positive definite linear systems
From MaRDI portal
Publication:1624668
DOI10.1016/j.cam.2018.07.021zbMath1404.65019OpenAlexW2884600692MaRDI QIDQ1624668
Xiao-Yong Xiao, Qing-Qing Zheng, Xiang Wang
Publication date: 16 November 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.021
Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
Related Items
On Uzawa-SSI method for non-Hermitian saddle point problems ⋮ Solving shifted linear systems with restarted GMRES augmented with error approximations ⋮ On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems ⋮ Modified Newton-AGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices ⋮ A generalized two-step modulus-based matrix splitting iteration method for implicit complementarity problems of H+-matrices ⋮ On preconditioned normal and skew-Hermitian splitting iteration method for continuous Sylvester equations AX + XB = C*
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new SOR-like method for the saddle point problems
- Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems
- Inexact splitting-based block preconditioners for block two-by-two linear systems
- A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
- On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
- A modified GPSS method for non-Hermitian positive definite linear systems
- On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
- A shift-splitting preconditioner for a class of block two-by-two linear systems
- On preconditioned MHSS iteration methods for complex symmetric linear systems
- A COCR method for solving complex symmetric linear systems
- Modified HSS iteration methods for a class of complex symmetric linear systems
- Numerical challenges in lattice quantum chromodynamics. Joint interdisciplinary workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal Univ., Germany, August 1999
- A new single-step iteration method for solving complex symmetric linear systems
- Block preconditioners for complex symmetric linear system with two-by-two block form
- Efficient single-step preconditioned HSS iteration methods for complex symmetric linear systems
- A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations
- Efficient preconditioning for sequences of parametric complex symmetric linear systems
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- A parameterized SHSS iteration method for a class of complex symmetric system of linear equations
- A single-step HSS method for non-Hermitian positive definite linear systems
- New Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems
- A block alternating splitting iteration method for a class of block two-by-two complex linear systems
- An Algebraic Multilevel Preconditioner with Low-Rank Corrections for Sparse Symmetric Matrices
- Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems
- Schur complement-based domain decomposition preconditioners with low-rank corrections
- Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
- A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration
- A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
- Optical tomography in medical imaging
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Matrix Preconditioning Techniques and Applications
- A Rational Function Preconditioner For Indefinite Sparse Linear Systems
- A Modified HSS Iteration Method for Solving the Complex Linear Matrix Equation AXB = C
- Preconditioned Positive-Definite and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations AX + XB = C