Developments in Reliable Computing by George F. Corliss, R. Baker Kearfott (auth.), Tibor Csendes

By George F. Corliss, R. Baker Kearfott (auth.), Tibor Csendes (eds.)

The test convention, the overseas Symposium on clinical Com­ puting, computing device mathematics and demonstrated Numerics, occurs bian­ nually below the joint auspices of GAMM (Gesellschaft fiir Angewandte Mathematik und Mechanik) and IMACS (International organization for arithmetic and desktops in Simulation). SCAN-98 attracted greater than a hundred contributors from 21 nations worldwide. in the course of the 4 days from September 22 to twenty-five, 9 highlighted, plenary lectures and over 70 contributed talks got. those figures point out a wide participation, which was once in part as a result of the allure of the organizing kingdom, Hungary, but additionally the effec­ tive aid process have contributed to the luck. The convention used to be considerably supported via the Hungarian learn Fund OTKA, GAMM, the nationwide expertise improvement Board OMFB and by way of the J6zsef Attila college. because of this investment, it was once attainable to subsidize the participation of over 20 scientists, ordinarily from japanese ecu nations. it is vital that the potentially first participation of 6 younger researchers was once made attainable because of the received help. The variety of East-European members was once really excessive. those effects are specially priceless, considering that not like the standard 2 years interval, the current assembly was once geared up only one yr after the final SCAN-xx conference.

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C. C. McGeoch, How to Stay Competitive, Amer. Math. Monthly, 101, pp. 897-901, 1994. 5. G. M. Ziegler, Lectures on Polytopes, Springer-Verlag, 1995. 53 T. ), Developments in Reliable Computing 53-65. © 1999 Kluwer Academic Publishers. On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher's Interval Arithmetic ANATOLY V. , Irkutsk, 664033, Russia Introduction Presently there is a growing interest to the investigation of linear algebraic equations in Kaucher's arithmetic [1].

One can also set on equal to the sliding average of past errors to guard against too high variations and/or almost vanishing values of rad~n. The performance of the optimized zonotope algorithm was tested using the Cremona map [2] ( X) y f-7 (XCOSA- (y-x2) sin A) xsinA+ (y-x2)COSA . TOWARDS AN OPTIMAL CONTROL OF THE WRAPPING EFFECT 49 N Figure 3. Cost (radii) r1 + ~ for Oli- and offline algorithms. ------. N Figure 4. Competitive ratios for direct and optimized FWF strategies. 4) and A. 3. The enclosure radii for both optimized and direct FWF are shown in Fig.

This is clearly not acceptable. 45 TOWARDS AN OPTIMAL CONTROL OF THE WRAPPING EFFECT ~+Tn Figure 1. "Inflated linear approximation" I:!. + Tn for the range f(n) 4. +Tpl + ... + Tpm by one. + Tpl) + TP2 CD; Tpl + o(f). + Tpl + TP2) 0. (5) Tp4 Figure 2. Alternatives CD and a> in (5) For 0, the order is reduced by two. +D(Tpl + TP2) is the same as 0 (f). is an interval), and does therefore not constitute a separate case. For general m :2: 2, one has 2m - 1 possibilities to form a nonempty subset of the m terms, a subset to which f).

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