Image Deblurring Nam-Yong Lee ∗ Department of Applied Mathematics, Institute of Basic Sciences, Inje University, Gimhae, Gyeongnam 621-749, Korea Abstract In this paper, we extend the Richardson–Lucy (RL) method to block iterative versions, separated BI-RL and interlaced BI-RL, for image deblurring applications. We propose combining algorithms for separated BI-RL to form block artifact-free out...

Assume that the initial value vector s R ∈  is given. The exact solution ) t ( y of the system defined by (1) is normally not known. Therefore, it is convenient to apply a suitable numerical method in order to calculate some sufficiently accurate approximate values of the components of the exact solution vector ) t ( y at the grid-points belonging to some discrete set of values of the time-var...

Users of locally-adaptive software for initial value ordinary differential equations are likely to be concerned with global errors. At the cost of extra computation, global error estimation is possible. Zadunaisky's method and 'solving for the error estimate' are two techniques that have been successfully incorporated into Runge-Kutta algorithms. The standard error analysis for these techniques...

‎In this paper‎, ‎two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow H $ is a bounded‎, ‎invertible and self-adjoint linear operator on a separable Hilbert space $ H $‎. ‎ By using the concept of frames of subspaces‎, ‎which is a generalization of frame theory‎, ‎we design some  algorithms based on Galerkin and Richardson methods‎, ‎and then we in...