The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iter...

Many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. For the efficient solution of the above mentioned problems, linear multistep methods or Runge-Kutta technique are used. For the simulation of chemical procedures the ra...

Dopant-free lateral p-n junctions in the GaAs/AlGaAs material system have attracted interest due to their potential use quantum optoelectronics (e.g., optical computers or repeaters) and ease of integration with other components, such as single electron pumps spin qubits. A major obstacle has been unwanted charge accumulation at junction gap that suppresses light emission, either enhanced non-r...