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Revista română de statistică, ISSN 1018-046X, 03/2018, Volume 66, Issue 1, pp. 121 - 132
Although the performance of commodity computers has improved drastically with the introduction of multicore processors and GPU computing, the standard R... 
statistical software | GPU | GMRES
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 02/2017, Volume 294, pp. 343 - 352
The DGMRES method is an iterative method for computing the Drazin-inverse solution of consistent or inconsistent linear systems of the form Ax=b, where A∈Cn×n... 
DGMRES method | LGMRES method | GMRES-E method | Drazin-inverse solution | Error vector | Singular systems | MATHEMATICS, APPLIED | ALGORITHM | RESTARTED GMRES | PROJECTION METHODS | Linear systems | Control systems | Methods
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 01/2020, Volume 358, p. 112642
Journal Article
SIAM journal on scientific computing, ISSN 1095-7197, 2011, Volume 33, Issue 5, pp. 2950 - 2971
An iterative method LSMR is presented for solving linear systems Ax - b and least-squares problems min parallel to Ax-b parallel to(2), with A being sparse or... 
Minimum-residual method | MINRES | Least-squares problem | Golub-Kahan process | Krylov subspace method | Sparse matrix | Iterative method | LSQR | Conjugate-gradient method | MATHEMATICS, APPLIED | conjugate-gradient method | LINEAR-EQUATIONS | minimum-residual method | iterative method | least-squares problem | GMRES | sparse matrix | SYSTEMS
Journal Article
Parallel computing, ISSN 0167-8191, 11/2019, Volume 89, p. 102551
•Efficiently solving linear systems with multiple Right-hand sides on extreme-scale platforms requires the minimization of global communications, reduction of... 
Linear systems | Asynchronous communication | Krylov subspace methods | Multiple right-hand sides | Unite and conquer | BLOCK-GMRES | NONSYMMETRIC SYSTEMS | KRYLOV | COMPUTER SCIENCE, THEORY & METHODS | GMRES ALGORITHM | Distributed, Parallel, and Cluster Computing | Numerical Analysis | Computer Science
Journal Article
Numerical algorithms, ISSN 1017-1398, 06/2017, Volume 75, Issue 2, pp. 457 - 475
Multistep matrix splitting iterations serve as preconditioning for Krylov subspace methods for solving singular linear systems. The preconditioner is applied... 
Matrix splitting iterations | Flexible GMRES method | GMRES method | Singular linear system | Inner-outer iteration | Preconditioning | HSS METHOD | SEMICONVERGENCE | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | ALGORITHM | EQUATIONS | KRYLOV SUBSPACE METHODS | LEAST-SQUARES | SEMI-CONVERGENCE | GMRES | SOR | Linear systems | Mathematics - Numerical Analysis
Journal Article
Numerical Algorithms, ISSN 1017-1398, 1/2015, Volume 68, Issue 1, pp. 143 - 165
Journal Article
Inverse problems, ISSN 0266-5611, 01/2014, Volume 30, Issue 1, pp. 15005 - 17
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 04/2018, Volume 18, Issue 2, pp. 203 - 222
The convergence of GMRES for solving linear systems can be influenced heavily by the structure of the right-hand side. Within the solution of eigenvalue... 
65N25 | Inexact Inverse Iteration | 65F10 | Convergence Analysis | GMRES | Krylov Subspace Methods | Inexact Subspace Iteration | 65F15 | Block Krylov Methods | Preconditioning | 65F08 | 15A18 | MATHEMATICS, APPLIED | PRECONDITIONED GMRES | ALGORITHM | EQUATIONS | NONSYMMETRIC LINEAR-SYSTEMS | VECTOR | MATRICES
Journal Article
Physics of plasmas, ISSN 1089-7674, 2011, Volume 18, Issue 6, pp. 062504 - 062504-13
A new solver for rapidly obtaining magnetohydrodynamic (MHD) equilibria in toroidal systems in the presence of islands and stochastic regions is described. It... 
CODE | PLASMA | PHYSICS, FLUIDS & PLASMAS | STABILITY | GMRES | ALGORITHM | MAGNETOHYDRODYNAMICS | SIMULATION
Journal Article
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, Volume 34, Issue 3, pp. 1066 - 1088
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 08/2017, Volume 322, pp. 81 - 96
We previously introduced a preconditioner that has proven effective for hp-FEM discretizations of various challenging elliptic and hyperbolic problems. The... 
Indefinite operators | Preconditioned GMRES | Acoustic topology optimization | Interpolative decomposition | Anisotropy
Journal Article
Journal of computational physics, ISSN 0021-9991, 04/2017, Volume 335, Issue C, pp. 700 - 717
In this paper, we develop new techniques for solving the large, coupled linear systems that arise from fully implicit Runge–Kutta methods. This method makes... 
Discontinuous Galerkin | Preconditioned GMRES | Implicit Runge–Kutta | Parallel-in-time | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Implicit Runge-Kutta | PHYSICS, MATHEMATICAL | SCHEMES | Mathematics - Numerical Analysis
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
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 09/2016, Volume 43, Issue 2, pp. 1 - 27
We revisit the implementation of iterative solvers on discrete graphics processing units and demonstrate the benefit of implementations using extensive kernel... 
BiCGStab method | CUDA | GMRES method | Iterative solvers | OpenCL | conjugate gradient method | GPU | Conjugate gradientmethod | MATHEMATICS, APPLIED | ALGORITHM | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Algorithms | GMRES | LATENCY | Performance | Kernels | Usage | Graphics coprocessors | Research | Mathematical analysis | Packages | Graphics processing units | Solvers | Iterative methods | Gain | Computer programs
Journal Article
Numerical Algorithms, ISSN 1017-1398, 8/2014, Volume 66, Issue 4, pp. 811 - 841
Complex valued linear algebraic systems arise in many important applications. We present analytical and extensive numerical comparisons of some available... 
Linear systems | Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Complex symmetric | Theory of Computation | Real valued form | Preconditioning | MATHEMATICS, APPLIED | GMRES | SYMMETRIC-SYSTEMS | MINIMAL RESIDUAL ALGORITHM
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 02/2015, Volume 253, pp. 135 - 150
Image deblurring with anti-reflective boundary conditions and a non-symmetric point spread function is considered. Several iterative methods based on Krylov... 
Image deblurring | Arnoldi methods | Boundary conditions | TIKHONOV REGULARIZATION | MATHEMATICS, APPLIED | GMRES | ALGORITHM
Journal Article
Annals of nuclear energy, ISSN 0306-4549, 01/2017, Volume 99, pp. 427 - 433
•A simple and efficient preconditioning technique for matrix MOC.•The developed code has been verified and the results agree well with the reference.•The... 
Method of characteristics | Krylov subspace | Preconditioned GMRES(m) | NUCLEAR SCIENCE & TECHNOLOGY | GMRES | Analysis | Methods | Algorithms | Algebra | Expenses | Solvers | Nuclear reactor components | Mathematical models | Iterative methods | Preconditioning
Journal Article
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