â â â  â â â  nowadays, the world economies are rapidly moving towards being more knowledge-based economy (kbe) and supporting the force of knowledge as a vital component of economic growth. this recent acceleration in the transition to knowledge-based economy in the world, has affected regional economic performance. in this paper, we surveyed the regional convergence in knowledge-based economy...

in this paper, we design a new model of preconditioner for systems of linear equations. the convergence properties of the proposed methods have been analyzed and compared with the classical methods. numerical experiments of convection-diffusion equations show a good im- provement on the convergence, and show that the convergence rates of proposed methods are superior to the other modified itera...

In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and  Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and ...

based on a complete heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a cartesian-closed category, calledthe category of $l-$ordered fuzzifying convergence spaces, in whichthe category of $l-$fuzzifying topological spaces can be embedded.in addition, two new categories are introduced, which are called the...

In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.

Abstract In this paper we test two versions of convergence hypothesis namely deterministic or conditional convergence and stochastic or catching up hypothesis using Carrion-i-Silvestre et al. (2005) stationary test. The results show Latin and South American countries (LSA) catching up process toward the USA failed in 1980s and somewhat in 1990s. But in 2000s most of them could lie in converge...