M.V.A. ANDRADE, J.L.D. COMBA and J. STOLFI Affine Arithmetic, INTERVAL '94, St. Petersburg (Russia), March 5-10 - (1994).  Home/Search   Document Not in Database   Summary   Related Articles

....and Bound algorithm, one tries to improve the known overestimate value f of the minimum by doing an evaluation of the function f at the center of the considered sub box X. After a short introduction on the standard affine arithmetic due to Andrade, Stolfy, Comba, de Figueiredo, Van Iwaarden, [2], 4] 6] 7] two new affine forms will be presented which try to deal with the difficulties generated by the use of standard affine arithmetic. Then some other extensions like a quadratic form will be introduced. To conclude, one shall show, on several polynomial samples, the efficiency of ....

....1 affine hyperplane RS1; RS2; AS [11] and also to the methods which use standard affine arithmetic ( 7] 2 Standard Affine Arithmetic Affine Arithmetic is a new approach to compute enclosure of the range of a given function f over a box X. It was introduced in 1994 by Andrade, Comba and Stolfy [2] and it was first applied on computer graphic problems [4] and surface intersections [6] Recently, these methods were introduced in Branch and Bound algorithm to improve the research of the unconstrained global optimum [7] Like generalized interval arithmetic introduced by Hansen [8] these ....

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M.V.A. ANDRADE, J.L.D. COMBA and J. STOLFI Affine Arithmetic, INTERVAL '94, St. Petersburg (Russia), March 5-10 - (1994).

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