Some properties of the algebraical system <I(R),+,o,−>, where <I(R),+,o> is the well known quasinear interval space and “−” is a nonstandard operation such thata−a=o, are given in this paper. The an… (More)

Hausdorff continuous (H-continuous) functions are special interval-valued functions which are commonly used in practice, e.g. histograms are such functions. However, in order to avoid arithmetic… (More)

We introduce and study abstract algebraic systems generalizing the arithmetic systems of intervals and convex bodies involving Minkowski operations such as quasimodules and quasilinear systems.… (More)

An algorithm is presented, which produces highly accurate and automatically verified bounds for the matrix exponential function. Our computational approach involves iterative defect correction,… (More)

It has been recently shown that computation with stochastic numbers as regard to addition and multiplication by scalars can be reduced to computation in familiar vector spaces. This result allows us… (More)

Hausdorff continuous (H-continuous) functions appear naturally in many areas of mathematics like Approximation Theory [11], Real Analysis [1], [8], Interval Analysis, [2], etc. From numerical point… (More)

Several super computers have been designed as massively parallel computers using the CELL processor as their main component. Such is for example the IBM Roadrunner which broke the world computing… (More)