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Numerical Algorithms, ISSN 1017-1398, 11/2019, Volume 82, Issue 3, pp. 843 - 867
Journal Article
Numerical Algorithms, ISSN 1017-1398, 2/2011, Volume 56, Issue 2, pp. 297 - 317
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2019, Volume 358, pp. 455 - 467
We propose a modified block splitting preconditioner for a class of complex nonsymmetric indefinite linear systems. By adopting two iteration parameters and a... 
Complex nonsymmetric linear system | Preconditioning | GMRES | Relaxing parameters | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | POSITIVE-DEFINITE | PSS PRECONDITIONERS | Linear systems | Analysis
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2018, Volume 75, Issue 8, pp. 2710 - 2722
In this paper, based on a convergence splitting of the matrix A, we present an inner–outer iteration method for solving the linear system Ax=b. We analyze the... 
Inner-outer iterations | Accelerate | Preconditioned | Convergence | JACOBI | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | SYLVESTER MATRIX EQUATIONS | ALGORITHM | INNER-OUTER ITERATION | COMPUTING PAGERANK
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 06/2017, Volume 57, Issue 2, pp. 287 - 311
We propose a class of regularized Hermitian and skew-Hermitian splitting methods for the solution of large, sparse linear systems in saddle-point form. These... 
Hermitian and skew-Hermitian splitting | Iterative methods | Preconditioning | Saddle-point linear system | Inexact implementation | Convergence | COMPUTER SCIENCE, SOFTWARE ENGINEERING | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | PRECONDITIONERS | MATRICES | Linear systems | Computer science | Analysis | Methods
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 08/2015, Volume 283, pp. 71 - 78
We briefly introduce typical and important direct and iterative methods for solving systems of linear equations, concretely describe their fundamental... 
Direct method | Iterative method | Linear system | Krylov subspace | Preconditioning | MATHEMATICS, APPLIED | RELAXATION METHODS | GMRES CONVERGENCE | HERMITIAN SPLITTING METHODS | MULTILEVEL PRECONDITIONING METHODS | BOUNDS | MATRICES | ITERATIVE METHODS | Linear systems | State of the art | Algebra | Algorithms | Searching | Mathematical models | Linear equations | Subspace methods
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2016, Volume 72, Issue 9, pp. 2462 - 2472
In this paper, based on accelerated overrelaxation (AOR) method and Uzawa method, we present AOR–Uzawa iterative method for solving a broad class of complex... 
Complex symmetric linear systems | AOR–Uzawa iterative method | Preconditioning | Convergence | HSS METHOD | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | SEMI-CONVERGENCE ANALYSIS | VARIANTS | ALGORITHMS | AOR-Uzawa iterative method | Linear systems | Equivalence | Computer simulation | Mathematical analysis | Mathematical models | Iterative methods | Symmetry
Journal Article
Computing, ISSN 0010-485X, 5/2010, Volume 87, Issue 3, pp. 93 - 111
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2017, Volume 73, Issue 1, pp. 87 - 95
Based on the new HSS (NHSS) iteration method proposed by Pour and Goughery (2015) and the efficient PSHSS iteration method by Zeng and Ma (2016), we introduce... 
Positive definite | Complex symmetric linear system | Spectral radius | HSS iteration | Convergence analysis | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | Linear systems | Analysis | Methods | High speed tool steels | Parameters | Upper bounds | Mathematical models | Iterative methods | Optimization | Symmetry
Journal Article
Numerical Algorithms, ISSN 1017-1398, 11/2019, Volume 82, Issue 3, pp. 1097 - 1115
For solving an augmented linear system, Njeru and Guo presented an accelerated SOR-like (ASOR) method in (P. N. Njeru and X.-P. Guo. Accelerated SOR-like... 
65F50 | Modified accelerated SOR-like method | Augmented linear systems | Algorithms | Algebra | 65F10 | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | 65F08 | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | PRECONDITIONERS | SYMMETRIC SOR METHOD | AOR METHOD | ITERATIVE METHODS
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 01/2013, Volume 33, Issue 1, pp. 343 - 369
We construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration scheme for solving and preconditioning a class of block... 
KKT systems | PMHSS iteration | spectral properties | block two-by-two matrices | PDE-constrained optimization | preconditioning | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | Linear systems | Mathematical analysis | Blocking | Control systems | Spectra | Iterative methods | Galerkin methods | Convergence
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2016, Volume 300, pp. 18 - 29
Block and global Krylov subspace methods have been proposed as methods adapted to the situation where one iteratively solves systems with the same matrix and... 
Block methods | Krylov subspace | Multiple right-hand sides | Non-Hermitian matrices | Sparse linear systems | MATHEMATICS, APPLIED | NONSYMMETRIC SYSTEMS | ALGORITHM | QMR | BLOCK GMRES | MULTIPLE | Economics | Linear systems | Mathematical analysis | Blocking | Mathematical models | Vectors (mathematics) | Subspace methods | Arithmetic
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 10/2018, Volume 76, Issue 8, pp. 1906 - 1922
We propose a relaxed generalized-PSS preconditioner for generalized saddle-point linear systems with non-Hermitian positive definite leading block from steady... 
Krylov subspace method | Generalized saddle-point problem | PSS | Navier–Stokes equations and Oseen problem | Preconditioner | Kiylov subspace method | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | POSITIVE-DEFINITE | Navier-Stokes equations and Oseen problem | HSS PRECONDITIONER
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2017, Volume 325, pp. 188 - 197
In this paper, a new iteration method is proposed for solving the complex symmetric linear systems. In theory, we show that the convergence factor or the upper... 
Complex symmetric linear system | PMHSS method | Numerical experiment | Iterative methods | Convergence theory | HERMITIAN SPLITTING METHODS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | MATRICES | EQUATIONS | Linear systems | Analysis | Methods
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2016, Volume 72, Issue 9, pp. 2473 - 2485
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 08/2018, Volume 25, Issue 4, p. n/a
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2019, Volume 77, Issue 7, pp. 1902 - 1916
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2012, Volume 236, Issue 9, pp. 2338 - 2353
For the singular, non-Hermitian, and positive semidefinite linear systems, we propose an alternating-direction iterative method with two parameters based on... 
Iterative method | Singular linear system | Positive semidefinite matrix | Hermitian and skew-Hermitian splitting | Semi-convergence | Non-Hermitian matrix | HERMITIAN SPLITTING METHODS | ITERATION | MATHEMATICS, APPLIED | Linear systems | Analysis | Methods
Journal Article