In this paper our aim is to introduce a new class of procedure, the Uniformly Asymptotically Regular-class of procedures (UAR-precedures), showing some examples of procedures as for finite family of mappings, as for infinite family of mappings. Then by a UAR-procedure we prove the convergence of an implicit iterative method and of an explicit iterative method to the unique solution of a variati...

A balancing domain decomposition (BDD) method is considered as a preconditioner of the iterative domain decomposition method (DDM) for magnetostatic problems. The BDD method enables us to keep convergence properties of the iterative DDM even if the number of subdomains increases. However, in case of magnetostatic problems, the dimension of the coarse problem required in the BDD procedure depend...

A new viewpoint on iterative Hirshfeld charges is presented, whereby the atomic populations obtained from such a scheme are interpreted as such populations which reproduce themselves. This viewpoint yields a self-consistent requirement for the Hirshfeld-I populations rather than being understood as the result of an iterative procedure. Based on this self-consistent requirement, much faster algo...

Determining the production capacity of flexible manufacturing systems is a very important issue in the design of such systems. We propose an approach for determining the production capacity (i.e., the maximum production rate) of a flexible manufacturing system with several part types, dedicated pallets, and fixed production ratios among the different part types. We show that the problem reduces...

An iterative procedure is developed with the aim of constructing homogeneity rules for the distribution P (ρ, δ) of the particle density ρ at resolution scale δ. A single iteration step consists of a change in the normalization point of P (ρ, δ) followed by a rescaling. Similar transformation rule is introduced for density fluctuations contaminated by Poisson noise. Application of the iterative...

The aim of this paper is to develop a comprehensive study of the geometry involved in combining Bregman divergences with pooling operators over closed convex sets in a discrete probabilistic space. A particular connection we develop leads to an iterative procedure, which is similar to the alternating projection procedure by Csiszár and Tusnády. Although such iterative procedures are well studie...

E.mail: School of Mechanical Engineering, KIIT University, Patia, Bhubaneswar751024, Odisha, India [email protected] Abstract—This paper presents a non-iterative procedure based on state space model for estimation of boundary conditions in heat conduction problems. The conduction governing equations are represented in the form of state space model. The non-iterative nature of the solution ...

| In this paper we present a novel approach for the incorporation of wavelets into the solution of frequency-domain integral equations arising in scattering problems. In this approach, we utilize the fact that when the basis functions used are wavelet-type functions, only a few terms in a series expansion would be needed to represent the unknown quantity. Moreover, an iterative procedure is sug...

We introduce the Concave-Convex procedure (CCCP) which constructs discrete time iterative dynamical systems which are guaranteed to monotonically decrease global optimization/energy functions. It can be applied to (almost) any optimization problem and many existing algorithms can be interpreted in terms of CCCP. In particular, we prove relationships to some applications of Legendre transform te...

Electromagnetic scattering from coated nihility circular cylinders, illuminated by E-polarized plane wave, is investigated using an iterative procedure. Cylinders are infinite in length. The boundary conditions are applied on the surface of each cylinder in an iterative procedure in order to solve for the field expansion coefficients. The effect of different types of the coating layers includin...