Contrasts in the basins of attraction of structurally identical iterative root finding methods

A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.

Success factors of regional airports: the case of Oporto airport

Oporto Airport (OPO) is a success story among European regional airports. This success is expressed, among other ways, in the rapid expansion of routes and the strong growth in demand, as well as in the recognition of the airport’s quality by its users. Over the past decade, the volume of traffic increased by almost 3.4 million passengers, from the 2.6 million recorded in 2002 to over 6 million in 2012. In this paper, we analyse some of the factors that influenced the success of Oporto Airport, namely the expansion of capacity and improvements to infrastructure, the increase in the number of routes and the increased demand in response to the new capacities of this airport-airlines set. Particular emphasis is given to the role of low cost carriers (LCC) in the growth of Oporto Airport and to strategies of attracting more traffic. Some of the main opportunities and challenges that this airport will face in the coming years are also discussed.