Sentence examples for minimal residual method from inspiring English sources

Here we study a multigrid preconditioned generalized minimal residual method (GMRES) for such a model.

The Flexible Generalized Minimal Residual method (FGMRES) is an attractive iterative solver for non-symmetric systems of linear equations.

Then, the structural governing equation is numerically solved by the Wilson- θ method and preconditioned generalized minimal residual method (GMRES) with a self-developed MATLAB program.

The iterative solver generalized minimal residual method is applied to accelerate the calculation of the solution to the linear system of equations.

An incomplete LU factorization preconditioned Generalized Minimal Residual method (GMRES) is employed to solve the resulting boundary integral equation in order to improve efficiency.

In this paper we consider the relatively new preconditioned generalized minimal residual method, restarted every m iterations (GMRES m) ), for the solution of three-dimensional elliptic equations.

157 (1) (2000) 350–370] and quasi-minimal residual [R.W. Freund, N.M. Nachtigal, QMR: a quasi-minimal residual method for non-Hermitian linear systems, Numer. Math. 60 (1991) 315 339] iterative matrix solution algorithms, we solve the resulting discrete matrix eigenvalue equations and demonstrate the convergence characteristics of the algorithm.

Because the matrix of the coefficients of the linear system (2.8) is non-symmetric, when N is large, we can use some basic iterative methods to solve it, such as the generalized minimal residual (GMRES) method (see [[19], pp.48-60]), whish is popular for solving non-symmetric linear systems.

Moreover, we find that AAJ significantly outperforms the Generalized Minimal Residual (GMRES) method in the range of problems considered here, with the relative performance again improving with size of the system.

In particular, the motivations of searching the solution of a linear system in a Krylov subspace are described and the algorithmic realizations of the generalized minimal residual (GMRES) method are shown, and several classes of state-of-the-art algebraic preconditioners are briefly reviewed.

Then, we develop the preconditioned generalized minimal residual (preconditioned GMRES) method and preconditioned conjugate gradient normal residual (preconditioned CGNR) method with easily constructed preconditioners.