Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...

In this paper, we introduce a joint hyperbolic-orthogonal decomposition of two matrices which we call a Generalized Hyperbolic SVD, or GHSVD. This decomposition can be used for nding the eigenvalues and eigenvectors of a symmetric indeenite pencil X T X ? Y T Y where = diag(1). We also present an implicit Jacobi-like method for computing this GHSVD.

The concept of a generalized quarternary multiresolution struccture (GQMS) of space is formulated. A class of multiple affine quarternary pseudoframes for subspaces of 2 4 ( ) L R are introduced. The construction of a GQMS of Paley-Wiener subspaces of 2 4 ( ) L R is studied. The sufficient condition for the existence of pyramid decomposition scheme is presented based on such a GQMS. A sort of a...

A new modified Adomian Decomposition Method (ADM) was utilized to obtain an analytical solution for the buckling of the nanocantilever actuators immersed in liquid electrolytes. The nanoactuators in electrolytes are subject to different nonlinear forces including ionic concentration, van der Waals, external voltage and electrochemical forces. The Duan–Rach modified Adomian decomposition method ...

we present here, a haar wavelet method for a class of third order partial dierentialequations (pdes) arising in impulsive motion of a flat plate. we also, present adomaindecomposition method to find the analytic solution of such equations. efficiency andaccuracy have been illustrated by solving numerical examples.

the presence of van der waals (vdw) force can lead to mechanical instability in freestanding nano-scale actuators. most of the previous researches in this area have exclusively focused on modeling the instability in actuators with one actuating components. while, less attention has been paid to actuators consist of two actuating components. herein, the effect of the vdw force on the instability...

In this research, CuO spherical-like nanoparticles were synthesized using the planetary ball mill method. The structure, particle size and morphology of the resulting CuO nanoparticles were characterized by XRD (X-ray diffraction), SEM (scanning electron microscopy) and SAXS (small-angle X-ray scattering) methods. The results of this investigation showed ...