The paper describes, discusses, and numerically illustrates the method for obtaining a priori estimates of the optimum relaxation factor in the SOR iteration method. The computational strategy of this method uses the so-called Sigma-SOR algorithm based on the theoretical result proven in the paper. The method presented is especially efficient for problems with slowly convergent iteration proces...

The flexion relaxation phenomenon (FRP) can be defined as a reduction or silence of myoelectric activity of the lumbar erector spinae muscle during full trunk flexion. It is typically absent in patients with chronic low back pain (LBP). Before any broad clinical utilization of this neuromuscular response can be made, effective, standardized, and accurate methods of identifying FRP limits are ne...

A novel method which is called the Chebyshev inertial iteration for accelerating convergence speed of fixed-point iterations presented. The can be regarded as a valiant successive over relaxation or Krasnosel'ski\v{\i}-Mann utilizing inverse roots polynomial dependent factors. One most notable features proposed that it applied to nonlinear in addition linear iterations. Linearization around fix...

Context. New high-resolution spectropolarimetric observations of solar prominences require improved radiative modelling capabilities in order to take into account both multi-dimensional – at least 2D – geometry and complex atomic models. Aims. This makes necessary the use of very fast numerical schemes for the resolution of 2D non–LTE radiative transfer problems considering freestanding and ill...

A quasi-two dimensional antiferromagnet Cs2CuBr4 is characterized as a frustrated spin system on a distorted triangular lattice. Cs-NMR experiments on Cs2CuBr4 have been performed in the range of the magnetic field applied along b-axis up to 15.9 T, which covers the field range for the 1/3 magnetization plateau. Field dependence of T−1 1 at 0.5 K shows a hysteresis around each end of the platea...

In this investigation, we deal with performance prediction of machining system with heterogeneous servers working under N-policy. To make multi-component system more reliable and efficient, the facility of cold and warm spares has been provided and the switching failure is taken into consideration. The impatient behaviors i.e. balking and reneging of failed machines are also included to make th...

An open problem that arises when using modern iterative linear solvers, such as the preconditioned conjugate gradient method or Generalized Minimum RESidual (GMRES) method, is how to choose the residual tolerance in the linear solver to be consistent with the tolerance on the solution error. This problem is especially acute for integrated groundwater models, which are implicitly coupled to anot...