‎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.‎

The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem for a monotone and Lipschitz continuous mapping. We introduce an extragradient-like iterative algorithm that is based on the extragradient-like a...

In the setting of hyperbolic spaces, we show that convergence Browder-type sequences and Halpern iterations respectively entail their viscosity version with a Rakotch map. We also hybrid Krasnoselskii-Mann iteration follows from Browder type sequence. Our results follow proof-theoretic techniques (proof mining). From an analysis theorems due to T. Suzuki, extract transformation rates for origin...

By using the Guo-Krasnoselskii fixed point theorem, we investigate the following thirdorder three-point boundary value problem

this paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the accelerated overrelaxation (aor) method. in this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

The main strategy of this paper is intended to speed up the convergence inertial Mann iterative method and further it through normal S-iterative for a certain class nonexpansive-type operators that are linked with variational inequality problems. Our new theory permits us settle down difficulty unification Korpelevich’s extragradient method, Tseng’s extragardient subgardient solving problems an...

Let K be a subset of a real normed linear space E and let T be a self-mapping on K . T is said to be nonexpansive provided ‖Tx−Ty‖ ‖x− y‖ for all x, y ∈ K . Fixed-point iteration process for nonexpansive mappings in Banach spaces including Mann and Ishikawa iteration processes has been studied extensively by many authors to solve the nonlinear operator equations in Hilbert spaces and Banach spa...

a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...