Sentence examples for minimum residual method from inspiring English sources

The weighted solution was obtained using the minimum residual method (Paige and Saunders 1975) with a 0.001 solution tolerance and up to 57 iterations of the Matlab™ routine 'minres.m' (Matlab 2013).

In [10], a quasi-boundary-value method together with left-preconditioned generalized minimum residual method are proposed to deal with an ill-posed Cauchy problem for a 3D elliptic partial differential equation with variable coefficients.

In DPG, test functions are computed on the fly and are chosen to realize the supremum in the inf sup condition; the method is equivalent to a minimum residual method.

The JFNK method is between 3 and 6.6 times faster (depending on the spatial resolution and termination criterion) than the standard solver using a preconditioned generalized minimum residual method.

After applying the discrete wavelet transform (DWT) to each dense block in the final matrix and the known right-hand side, due to the local enrichment by pressure (P) and shear (S) plane waves, the resulting linear system is solved by the restarted Generalized Minimum RESidual method (GMRES) with ILU preconditioners allowing fill-in elements in the L and U matrix factors.

By incorporating the Coriolis terms into the Lagrangian derivative, the block LU decomposition of the equations results in a symmetric positive-definite pseudo-Helmholtz operator which we solve using the generalized minimum residual method (GMRES) with a fast projection method [Comput. Methods Appl. Mech. Eng. 163 (1998) 193].

The nonlinear method of solution is a Newton Krylov (generalized minimum residual, GMRES) method preconditioned by a multigrid method.

Wang et al. [13 15] analyzed the optimization of parameters for bonnet polishing based on the minimum residual error method.

Examples of the variants of the Krylov subspace methods include the conjugate gradient (CG), biconjugate gradient stabilized (BiCGSTAB), and generalized minimum residual (GMRES) methods.

The computational efficiency of the matrix free method is compared with two common approaches: a global matrix solve technique that uses the GMRES (Generalized minimum residual) algorithm and an explicit method.

Using this method, the minimum residual capacity and the most critical locations of element loss as well as element removal impact factor for the frames that were studied were determined.