In this paper, indefinite linear systems with linear constraints are considered. We present a special decomposition that makes use of the LQ decomposition, and retains the constraints in the factors. The resulting decomposition is of a structure similar to that obtained using the Bunch-Kaufman-Parlett algorithm. The decomposition can be used in a direct solution algorithm for indefinite systems...

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 that the smallest particles which were o...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

first riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. an analytical approximation of the solution of nonlinear differential riccati equation is investigated using the adomian decomposition method. an application in optimal control is presented. the solution in different order of approximations and different methods of approximat...

the potential energy hyper surfaces (fes) of the unimolecular rearrangements of a) nitromethane itei totrans acknitromethane b) nitrometharie (/) to methyl nitrite (3) and c) naromethane decomposition tomethyl and nitrogen dioxide were searched using the ab !nth° mp2 method. split valence 6-310(d.p) basisset was used for geometry optimizations, frequency and 1rc computations along each reaction...

We study several sufficient conditions for the existence of a LévyKhinchin decomposition of generating functionals on unital involutive algebras with a fixed character. We show that none of these conditions are equivalent and we show that such a decomposition does not always exist.

We show how to find a Grushko decomposition of a finitely presented group, given a solution to its word problem.

By studying Adomian decomposition method as well as its adaptabilities and capabilities, and by providing experiments, this article attempts to examine the barriers that arise in the course of calculating the above algorithm and that deflect us from the true solution.

Based on a recent work of Thomas Bauer’s [1] reproving the existence of Zariski decompositions for surfaces, we construct a b-divisorial analogue of Zariski decomposition in all dimensions.

Foaming occurs in many distillation and absorption processes. The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. In this paper, we use a semi analytic method, the Adomian decomposition method, and an analytic method, the tanh method to handle the foam drainage equation. The powerful tanh method gives the solution in a closed form. However, Adomi...