in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

How small can a stationary iterative method for solving a linear system Ax = b make the error and the residual in the presence of rounding errors? We give a componentwise error analysis that provides an answer to this question and we examine the implications for numerical stability. The Jacobi, Gauss-Seidel and successive overrelaxation methods are all found to be forward stable in a componentw...

This is a new version of our previous work. In this version, we fill gap included in the original proof Theorem 1.1 paper entitled "An iterative method for Kirchhoff type equations and its applications".

Variational inequalities are being used as a mathematical programming tool in modeling a wide class of problems arising in different branches of pure and applied sciences, see [1–26]. Variational inequalities have been extended and generalized in various directions using novel and innovative techniques. A useful and important generalization is called the general variational inclusion involving ...

Monte Carlo (MC) linear solvers can be considered stochastic realizations of deterministic stationary iterative processes. That s, they estimate the result of a stationary iterative technique for solving linear systems. There are typically two sources of errors: i) those from the underlying deterministic iterative process and (ii) those from the MC process that performs the estimation. Much rog...

PURPOSE Rapid reconstruction of undersampled multicoil MRI data with iterative constrained reconstruction method is a challenge. The authors sought to develop a new substitution based variable splitting algorithm for faster reconstruction of multicoil cardiac perfusion MRI data. METHODS The new method, split Bregman multicoil accelerated reconstruction technique (SMART), uses a combination of...

‎in this paper‎, ‎we propose two preconditioned aor iterative methods to solve systems of linear equations whose coefficient matrices are z-matrix‎. ‎these methods can be considered as improvements of two previously presented ones in the literature‎. ‎finally some numerical experiments are given to show the effectiveness of the proposed preconditioners‎.‎