Online Resource 6: PCR amplification of the genes nptII, uidA, and virG in 5 transgenic plants and 5 rooted shoots.Click selleck compound here for additional data file.(286K, pdf)Authors’ Contribution Jos�� M. Alvarez and Ricardo J. Ord��s contributed equally to this work.AcknowledgmentsThe authors thank Dr. Kevin Dalton and Dr. Ruben Alvarez for proofreading the paper and for helpful comments. This work was supported by ��Ministerio de Educaci��n y Ciencia de Espa?a�� (AGL2009-12139-C02-01); ��Plan de Ciencia Tecnolog��a e Innovaci��n del Principado de Asturias�� (IB08-054 and FC10-COF10-07); and Predoctoral Grant from the ��Ministerio de Educaci��n y Ciencia de Espa?a�� (FPU AP2005-0140) to Jos�� M. Alvarez.
It is usual to find nonlinear equations in the modelization of many scientific and engineering problems, and a broadly extended tools to solve them are the iterative methods.

In the last years, it has become an increasing and fruitful area of research. More recently, complex dynamics has been revealed as a very useful tool to deep in the understanding of the rational functions that rise when an iterative scheme is applied to solve the nonlinear equation f(z) = 0, with f : �� . The dynamical properties of this rational function give us important information about numerical features of the method as its stability and reliability.There is an extensive literature on the study of iteration of rational mappings of complex variables (see [1, 2], for instance). The simplest and more deeply analyzed model is obtained when f(z) is a quadratic polynomial and the iterative process is Newton’s one.

The dynamics of this iterative scheme has been widely studied (see, among others, [2�C4]).In the past decade Varona, in [5] and Amat et al. in [6] described the dynamical behavior of several well-known iterative methods. More recently, in [7�C14], the authors studied the dynamics of different iterative families. In most of these studies, interesting dynamical planes, including some periodical behavior and other anomalies, have been obtained. In a few cases, the parameter planes have been also analyzed.In order to study the dynamical behavior of an iterative method when it is applied to a polynomial p(z), it is necessary to recall some basic dynamical concepts. For a more extensive and comprehensive review of these concepts, see [3, 15].

Let R:?^��?^ be a rational function, where ?^ is the Riemann sphere. The orbit of a point z0��?^ is defined as the set of successive images of z0 by the rational function, z0, R(z0),��, Rn(z0),��.The dynamical behavior of the orbit of a point on the complex plane can be classified depending on its asymptotic behavior. In this way, a point z0 is a fixed point of R if R(z0) = z0. A fixed point is attracting, repelling, GSK-3 or neutral if |R��(z0)| is less than, greater than, or equal to 1, respectively.