Fast Polar Decomposition of an Arbitrary Matrix

Finding the polar decomposition of a matrix by an efficient iterative method

Theobjective in this paper to study and present a new iterative method possessing high convergence order for calculating the polar decompostion of a matrix. To do this, it is shown that the new scheme is convergent and has high convergence. The analytical results are upheld via numerical simulations and comparisons.

Fast Polar Decomposition of an Arbitrary Matrix (8asa-cb-1854 12) F a S ¶ Fola6 Z I C C B I O S I T I O I

Symbolic computation of the Duggal transform

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...

An Estimation of Channel Characteristics for SVD-MIMO Antenna Array

This paper presents an analysis of the channel capacity for 2×2 multiple input multiple output (MIMO) antenna systems. In this research, channel capacity is simultaneously analyzed by arbitrary transmitting (Tx) and receiving (Rx) antenna correlation matrix with correlated fading channel matrix. The channel capacity for 2×2 MIMO system is calculated. Considered parameters include receiving sign...

A Fast Method for Synthesis Magnesium Hydroxide Nanoparticles, Thermal Stable and Flame Retardant Poly vinyl alcohol Nanocomposite

Magnesium hydroxide nanostructures as an effective flame retardant were synthesized by a facile and rapid microwave reaction. The effect of different surfactants such as cationic, anionic and polymeric on the morphology of magnesium hydroxide nanostructures was investigated. Nanostructures were characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM) and Fourier transform in...