This paper deals with the problem of constructing directed trees of optimal weight and root with depth at most (||) (called − ). We first prove that the maximization and the minimization versions are equal-approximable under the that measures how the value of an approximate solution is placed...

Given a closed subspace of a Hilbert space and a bounded linear operator which is positive, consider the set of all -selfadjoint projections ontoIn addition, if is another Hilbert space, is a bounded linear operator such that * = and , consider the set of spline interpolants to :A strong...

The numerical solution of the Sturm-Liouville problem can be achieved using shooting to obtain an eigenvalue approximation as a solution of a suitable nonlinear equation and then computing the corresponding eigenfunction.In this paper we use the shooting method both for eigenvalues and...

Two general procedures for computing eigenvalues and error estimates in Sturm-Liouville problems based upon the shooting technique are considered. The proposed methods have a low computational cost and the error estimates can be employed to improve the approximations obtained for the...

In this paper we present a model which can be used to evaluate the performance of mutual funds. This model applies an operational research methodology, called data envelopment analysis (DEA), which allows to measure the relative efficiency of decision making units. This approach allows to define...

Dubois and Prade introduced the mean value of a fuzzy number as a closed interval bounded by the expectations calculated from its upper and lower distribution functions. In this paper introducing the notations of and mean values we definine the and investigate its relationship to the...

The valuing of a firm equity as a call option is a crucial problem in financial decision-making. There are two basic aspects that are studied; contingent claim features (payoff functions) and risk (stochastic process of underlying assets). However, non-preciseness (vagueness, uncertainty) of input...

In our previous paper [4] we observed that generalized Vandermonde determinants of the formwhere the are distinct points belonging to an interval [] of the real line, the index stands for the order, the sequence consists of ordered integers 0 ≤ … , can be factored as a product of the...

We consider generalized Vandermonde determinants of the form:where the are distinct points belonging to an interval [] of the real line, the index stands for the order, the sequence consists of ordered integers 0 ≤ … . These determinants can be factored as a product of the classical...