@entry{kre-09-aa, author = {V Kreinovich}, title = {Interval computations and their possible use in estimating accuracy of the optimization-based reconstruction of the early Universe}, journal = {International Workshop \uc{201c}At the Interface of ...,}, volume = {}, number = {}, pages = {}, year = 2009, month = , doi = {}, comment = {}, abstract = {}, url = {{\url{https://www.researchgate.net/profile/Vladik-Kreinovich/publication/228680409_Interval_computations_and_their_possible_use_in_estimating_accuracy_of_the_optimization-based_reconstruction_of_the_early_Universe/links/0deec53a43bc69704d000000/Interval-computations-and-their-possible-use-in-estimating-accuracy-of-the-optimization-based-reconstruction-of-the-early-Universe.pdf}}}, quotes = {... Affine arithmetic: we start with x = 0.5 \uc{2212} \uc{2206}x + [0,0]; \uc{2022} r1 := 1 \uc{2212} (0.5 \uc{2212} \uc{2206}) = 0.5+\uc{2206}x; \uc{2022} r2 := (0.5 \uc{2212} \uc{2206}x) {\cdot} (0.5+\uc{2206}x), ... Accuracy: affine arithmetic leads to more accurate ranges. \uc{2022} Computation time: ...} }