In our recent research we studied a feasibility problem with infinitely many sets in metric space, presented novel algorithm and analyzed its convergence. the present paper study introduced that work for common fixed taking into account computational errors. We show generates good approximate solution, if errors are bounded from above by small positive constant.

We discuss here the convergence of relaxation methods for MPCC with approximate sequence of stationary points by presenting a general framework to study these methods. It has been pointed out in the literature, [25], that relaxation methods with approximate stationary points fail to give guarantee of convergence. We show that by de ning a new strong approximate stationarity we can attain the de...

Approximate computing is a research area where we investigate a wide spectrum of techniques to trade off computation accuracy for better performance or energy consumption. In this work, we provide a general introduction to approximate computing. Also, we propose a taxonomy to make it easier to discuss the merits of different approximation techniques. Our taxonomy emphasizes the expected cost of...

If T or T ∗ is an algebraically k-quasiclass A operator acting on an infinite dimensional separable Hilbert space and F is an operator commuting with T , and there exists a positive integer n such that F has a finite rank, then we prove that Weyl’s theorem holds for f(T )+F for every f ∈ H(σ(T )), where H(σ(T )) denotes the set of all analytic functions in a neighborhood of σ(T ). Moreover, if ...

The polychrome analysis of biological samples can yield information usually masked in monochrome or even color analysis. This paper shows that after an accurate choice of the spectral bands, the information obtained can be useful for image analysis purposes (such as segmentation) and also for biochemical analysis through absorption or uorescence measurements. After a description of the image ac...

It is known that the spectrum of quasinormal modes potential barriers related to bound states corresponding wells. This property has been widely used compute black hole modes, but it limited a few ``approximate'' potentials with certain transformation properties for which must be analytically. In this work we circumvent limitation by proposing an approach allows one make use similar properties,...

COVID-19 incidence is analyzed at the provinces of some Spanish Communities during period February-October, 2020. Two infinite-dimensional regression approaches are tested. The first one implemented in framework introduced Ruiz-Medina, Miranda and Espejo (2019). Specifically, a bayesian adopted estimation pure point spectrum temporal autocorrelation operator, characterizing second-order structu...