The finite difference multigrid solution of an optimal control problem associated with an elliptic equation is considered. Stability of the finite difference optimality system and optimalorder error estimates in the discrete L2 norm and in the discreteH1 norm under minimum smoothness requirements on the exact solution are proved. Sharp convergence factor estimates of the two grid method for the...

In this paper, a variant of Backpropagation algorithm is proposed for feed-forward neural networks learning. The proposed algorithm improve the backpropagation training in terms of quick convergence of the solution depending on the slope of the error graph and increase the speed of convergence of the system. Simulations are conducted to compare and evaluate the convergence behavior and the spee...

in this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. we give the relations between the strongly almost cesàro type convergence and almost statistical convergence in these spaces. furthermore, we study some of their properties like completeness, solidity, symmetricity etc. we also give some inclusion relations related to t...

We present a new technique to accelerate the convergence of the folded spectrum method in empirical pseudopotential band edge state calculations for colloidal quantum dots. We use bulk band states of the materials constituent of the quantum dot to construct initial vectors and a preconditioner. We apply these to accelerate the convergence of the folded spectrum method for the interior states at...

We present a new technique to accelerate the convergence of the folded spectrum method in empirical pseudopotential band edge state calculations for colloidal quantum dots. We use bulk band states of the materials constituent of the quantum dot to construct initial vectors and a preconditioner. We apply these to accelerate the convergence of the folded spectrum method for the interior states at...

The recursive least squares (RLS)-type whitening algorithm is shown to be a useful solution for improving the convergence rate of the least mean square (LMS)-type whitening algorithm, but the RLStype algorithm with a constant forgetting factor requires a tradeoff between the convergence speed and steady-state misadjustment. By using a convex combination of two RLS algorithms with different forg...

Dark matter halo merger trees are now routinely extracted from cosmological simulations of structure formation. These trees are frequently used as inputs to semi-analytic models of galaxy formation to provide the backbone within which galaxy formation takes place. By necessity, these merger trees are constructed from a finite set of discrete ‘snapshots’ of the N-body simulation and so have a li...