Establishment of multicellularity represents a major transition in eukaryote evolution. A subgroup of Amoebozoa, the dictyosteliids, has evolved a relatively simple aggregative multicellular stage resulting in a fruiting body supported by a stalk. Protosteloid amoeba, which are scattered throughout the amoebozoan tree, differ by producing only one or few single stalked spores. Thus, one obvious...

Several numerical methods for solving nonlinear systems of equations assume that derivative information is available. Furthermore, these approaches usually do not consider the problem of finding all solutions to a nonlinear system, just one solution. In this paper, we address the problem of finding all roots of a system of equations. Our method makes use of a biased random-key genetic algorithm...

Several numerical methods for solving nonlinear systems of equations assume that derivative information is available. Furthermore, these approaches usually do not consider the problem of finding all solutions to a nonlinear system, just one solution. In this paper, we address the problem of finding all roots of a system of equations. Our method makes use of a biased random-key genetic algorithm...

In this paper we derive (weak) consistency and the asymptotic distribution of pseudo maximum likelihood estimates for multiple frequency I(1) processes. By multiple frequency I(1) processes we denote processes with unit roots at arbitrary points on the unit circle with the integration orders corresponding to these unit roots all equal to 1. The parameters corresponding to the cointegrating spac...

A recently proposed approximate maximum-likelihood estimator (MLE) of multiple exponentials converts the frequency estimation problem into a problem of estimating the coefficients of a :-polynomial with roots at the desired frequencies. Theoretically, the roots of the estimated polynomial should fall on the unit circle, but MLE, as originally proposed, does not guarantee unit circle roots. This...

Keywords: Newton's method Multiple roots Iterative methods Nonlinear equations Order of convergence Root-finding a b s t r a c t In this paper, we present a new third-order modification of Newton's method for multiple roots, which is based on existing third-order multiple root-finding methods. Numerical examples show that the new method is competitive to other methods for multiple roots. Solvin...

In recent years we have seen an increasing interest in irregular topologies in the interconnect communities. The predominant routing strategy for such networks is the up*/down* algorithm proposed in connection with Autonet. One problem with this algorithm is that it creates a configuration that is very prone to hot-spots near the root of the up*/down* tree. Previous methods for handling this pr...

There appear to be three types of affectively-based moral stances that persons can take: one oriented to security (the Ethic of Security) and focused on self-preservation through safety, and personal and ingroup dominance; another oriented to emotional engagement with others (the Ethic of Engagement), particularly through caring relationships and social bonds; and the third that I call the Ethi...

There are several methods for approximating the multiple zeros of a nonlinear function when the multiplicity is known. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss all known methods of orders two to four and present the basin of att...

Given a univariate polynomial P with a k-fold multiple root or a k-fold root cluster near some e z, we discuss various different methods to compute a disc near e z which either contains exactly or contains at least k roots of P . Many of the presented methods are known, some are new. We are especially interested in rigorous methods, that is taking into account all possible effects of rounding e...