Variational analysis of an extended eigenvalue problem

An extended variational principle

Convergence analysis of an extended Auxiliary Problem Principle for solving variational inequalities

We study the Extended Proximal Auxiliary Problem Principle-method (EPAPP) by Kaplan and Tichatschke [17, 20] for solving variational inequalities whose operator is the sum of a maximal monotone and a continuous operator. As in comparable methods using Bregman distances the authors required that the operator of the considered variational inequality (here called main operator) is paramonotone (se...

An unusual eigenvalue problem

We discuss an eigenvalue problem which arises in the studies of asymptotic stability of a self-similar attractor in the sigma model. This problem is rather unusual from the viewpoint of the spectral theory of linear operators and requires special methods to solve it. One of such methods based on continued fractions is presented in detail and applied to determine the eigenvalues.

an infinite planar array of rectangular microstrip patch antenna analysis

the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...

On the nonnegative inverse eigenvalue problem of traditional matrices

In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.