it is expected that inflation in a country with one currency is convergent in all regions. this has been associated with “convergence” directly. in policymakers’ viewpoint, convergence is a serious topic. although the topic of inflation is investigated in macroeconomics, some inflation indexes, for instance inflation of food prices has attracted special attention. generally, the issue of food i...

Recently, some convergent results of the generalized AOR iterative (GAOR) method for solving linear systems with strictly diagonally dominant matrices are presented in [Darvishi, M.T., Hessari, P.: On convergence of the generalized AOR method for linear systems with diagonally dominant cofficient matrices. Appl. Math. Comput. 176, 128-133 (2006)] and [Tian, G.X., Huang, T.Z., Cui, S.Y.: Converg...

The famous Newton–Kantorovich hypothesis has been used for a long time as a sufficient condition for the convergence of Newton’s method to a solution of an equation. Here we present a “Kantorovich type” convergence analysis for the Gauss–Newton’s method which improves the result in [W.M. Häußler, A Kantorovich-type convergence analysis for the Gauss–Newton-method, Numer. Math. 48 (1986) 119–125...

This article studies the absolute and conditional convergence of real GDP per capita among 164 world economies over the sample period of 1970-2006. The data-driven model specification tests justify the use of nonparametric and semiparametric models. The estimation results show that control variables play a negative/positive channel effect in the growth convergence for poor/developed economies. ...

We present a local convergence analysis of an eighth order three step method in order to approximate a locally unique solution of nonlinear equation in a Banach space setting. In an earlier study by Sharma and Arora (2015), the order of convergence was shown using Taylor series expansions and hypotheses up to the fourth order derivative or even higher of the function involved which restrict the...

Recent tests for the convergence hypothesis derive from regressing average growth rates on initial levels: a negative initial level coefficient is interpreted as convergence. These tests turn out to be plagued by Galton’s classical fallacy of regression towards the mean. Using a dynamic version of Galton’s fallacy, I establish that coefficients of arbitrary signs in such regressions are consist...