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.

in this research, tested factors were margarine types (contractive effects between types of oils in base of margarine such as palm super olein – partially hydrogenated canola oil – 50:50 mixture of palm super olein and partially hydrogenated canola oil and liquid canola) and different moisture (16-8-4%) as the first factor and heating time is the second factor. every margarines spend 3 times he...

in the present work, a modified correlation is presented for the second virial coefficients of both polar and nonpolar fluids based on the corresponding states principle. the second virial coefficients of gaseous polar and non-polar compounds were calculated and compared with experimental data and with other correlations. comparisons with the existing correlations show that the present work is ...

A new simple model is introduced for a liquid and an equation of state is derived based on this model and the statistical mechanical calculations. This equation of state works well for the non-polar and slightly polar liquids. The important conclusion that may be deduced from this equation of state is that if the reduced variables of state are chosen and defined appropriately, then, the pri...

Some new perturbation bounds of the positive (semi) definite polar factor and the (sub) unitary polar factor for the (generalized) polar decomposition under the general unitarily invariant norm and the spectral norm are presented. By applying our new bounds to the weighted cases, the known perturbation bounds for the weighted polar decomposition are improved. 2014 Elsevier Inc. All rights reser...

In the present work, a modified correlation is presented for the second virial coefficients of both polar and nonpolar fluids based on the corresponding states principle. The second virial coefficients of gaseous polar and non-polar compounds were calculated and compared with experimental data and with other correlations. Comparisons with the existing correlations show that the present work is ...

we present observation of polar coronal hole plumes with foot point jets that shows evidence of longitudinal acceleration. the series of event, occurring in the north coronal hole on 10 july 2010, was observed by the aia telescopes of the solar dynamic observatory (sdo mission) in the euv lines, with unprecedented details. the structures along the plume show a propagating outward velocity of ab...

a new simple model is introduced for a liquid and an equation of state is derived based on this model and the statistical mechanical calculations. this equation of state works well for the non-polar and slightly polar liquids. the important conclusion that may be deduced from this equation of state is that if the reduced variables of state are chosen and defined appropriately, then, the princip...

A quadratically convergent Newton method for computing the polar decomposition of a full-rank matrix is presented and analysed. Acceleration parameters are introduced so as to enhance the initial rate of convergence and it is shown how reliable estimates of the optimal parameters may be computed in practice. To add to the known best approximation property of the unitary polar factor, the Hermit...