a method for solving the descriptor discrete-time linear system is focused. for easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. in partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

This short paper describes the main new features added to SLEPc, Scalable Library for Eigenvalue Problem Computations, in last two and a half years, corresponding five release versions. The novelty is extension of SVD module with problem types such as generalized or hyperbolic SVD. Additionally, many improvements have been incorporated different parts library, including contour integral eigenso...

In this paper, we investigated the sharp estimate for condition of given interval which guarantees unique solution a Reimman-Liouville-type fractional differential equations with boundary conditions. The method analysis is obtained by principle contraction mapping through using maximum value integral Green?s function. Besides, also concluded sharper lower bound eigenvalues an eigenvalue problem...

Steady-state heat transfer problems have been considered in a composite solid comprising two materials, one, a slab, which forms the bulk of the interior and the other, a plate, which forms a thin layer around the boundary. Through the use of appropriate Green's functions, it is shown that the boundary value problem can be converted into a Fredholm integral equation of the second kind. The inte...

We present a visualization method that for three-dimensional tensor fields based on the idea of a stretched or compressed piece of fabric used as a “texture” for a two-dimensional surfaces. The texture parameters as the fabric density reflect the physical properties of the tensor field. This method is especially appropriate for the visualization of stress and strain tensor fields that play an i...

The fermionic, bosonic and supersymmetric variants of the colour-flavour transformation are derived for the orthogonal group. These transformations are then used to calculate the ensemble averages of characteristic polynomials of real random matrices. 1 Statement of main results Since the pioneering work of Wigner, many physical systems have been successfully studied with the help of random mat...