Search results for " convergence."
showing 10 items of 251 documents
Some supplementary results on the 1+ $$\sqrt 2 $$ order method for the solution of nonlinear equations
1982
Recently an iterative method for the solution of systems of nonlinear equations having at leastR-order 1+ $$\sqrt 2 $$ for simple roots has been investigated by the author [7]; this method uses as many function evaluations per step as the classical Newton method. In the present note we deal with several properties of the method such as monotone convergence, asymptotic inclusion of the solution and convergence in the case of multiple roots.
La convergence des systèmes nationaux de gouvernance: une perspective contingente
2009
The objective of this paper is to show that the answer to the question of convergence of national systems of governance is contingent on a number of assumptions. The first assumption bears on the functions and the formal mechanisms characterizing the systems of governance. The second concerns the possibility to define a unique national system of governance for all the firms of a nation. The third focuses on the process of homogenization of national systems of governance attributed to globalization.
Total Factor Productivity Convergence Amongst Italian Regions: Some Evidence from Panel Unit Root Tests
2009
Byrne J. P., Fazio G. and Piacentino D. Total factor productivity convergence among Italian regions: some evidence from panel unit root tests. Regional Studies. This paper employs panel unit root tests to investigate convergence in total factor productivity (TFP) among Italian regions. These tests provide an inference valid in the presence of heterogeneity and cross-sectional dependence, and when the cross-sectional dimension is smaller than the time dimension, allowing the investigation of convergence among different subsets of regions. The results add a further dimension to the conventional view on growth dynamics in the Italian peninsula depicting a lack of regional TFP convergence not o…
Size-intensive decomposition of orbital energy denominators
2000
We introduce an alternative to Almlöf and Häser’s Laplace transform decomposition of orbital energy denominators used in obtaining reduced scaling algorithms in perturbation theory based methods. The new decomposition is based on the Cholesky decomposition of positive semidefinite matrices. We show that orbital denominators have a particular short and size-intensive Cholesky decomposition. The main advantage in using the Cholesky decomposition, besides the shorter expansion, is the systematic improvement of the results without the penalties encountered in the Laplace transform decomposition when changing the number of integration points in order to control the convergence. Applications will…
Weak convergence to the coalescent in neutral population models
1999
For a large class of neutral population models the asymptotics of the ancestral structure of a sample of n individuals (or genes) is studied, if the total population size becomes large. Under certain conditions and under a well-known time-scaling, which can be expressed in terms of the coalescence probabilities, weak convergence in D E ([0,∞)) to the coalescent holds. Further the convergence behaviour of the jump chain of the ancestral process is studied. The results are used to approximate probabilities which are of certain interest in applications, for example hitting probabilities.
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
1999
We present a new method for solving total variation (TV) minimization problems in image restoration. The main idea is to remove some of the singularity caused by the nondifferentiability of the quantity $|\nabla u|$ in the definition of the TV-norm before we apply a linearization technique such as Newton's method. This is accomplished by introducing an additional variable for the flux quantity appearing in the gradient of the objective function, which can be interpreted as the normal vector to the level sets of the image u. Our method can be viewed as a primal-dual method as proposed by Conn and Overton [ A Primal-Dual Interior Point Method for Minimizing a Sum of Euclidean Norms, preprint,…
Neoclassical growth, manufacturing agglomeration, and terms of trade
2007
This paper presents an integrated view of economic growth, development traps, and economic geography. We explain why there is income convergence among some countries (neoclassical regime) and income divergence among others (poverty trap regime). Income convergence (divergence) and manufacturing industry diffusion (agglomeration) are re-enforcing each other in a cumulative process. Moreover, trade openness may trigger a catch-up process of an economy that is stuck in a \"poverty trap\". This catch-up is characterized by an increase in the investment-to-GDP ratio and an improvement of the terms of trade. A new dynamic welfare gain of trade liberalization is identified, which is likely to be l…
Fiscal Convergence, Business Cycle Volatility and Growth
2009
This paper analyzes the effects of fiscal convergence on business cycle volatility and growth. Using a panel 21 OECD countries (including 11 EMU countries) and 40 years of data, we find that countries with similar government budget positions tend to have smoother business cycles. That is, fiscal convergence (in the form of persistently similar ratios of government surplus/deficit to GDP) is systematically associated with smoother business cycles. We also find evidence that reduced business cycle volatility through higher fiscal convergence stimulates growth. Our empirical results are economically and statistically significant and robust.
Public capital and productive efficiency in the Spanish regions (1964–89)
1995
The article analyses the evolution of the differences in economic conditions among Spanish regions from the perspective provided by the recent advances made in economic growth empirics. Although convergence is usually established in terms of Gross Value Added (GVA) per capita, in the case of Spain it is of special interest to break it down into three separate elements: activity rate, employment rate, and productivity of labour. Regional differences in unemployment rates, which persist for long periods of time, are identified as a force against convergence. After describing the distinction between conditional and non conditional convergence, the paper considers the role played by the product…
Accelerated Proximal Gradient Descent in Metric Learning for Kernel Regression
2018
The purpose of this paper is to learn a specific distance function for the Nadayara Watson estimator to be applied as a non-linear classifier. The idea of transforming the predictor variables and learning a kernel function based on Mahalanobis pseudo distance througth an low rank structure in the distance function will help us to lead the development of this problem. In context of metric learning for kernel regression, we introduce an Accelerated Proximal Gradient to solve the non-convex optimization problem with better convergence rate than gradient descent. An extensive experiment and the corresponding discussion tries to show that our strategie its a competitive solution in relation to p…