Sergey Petrovich SHARY. Algebraic solutions to interval linear equations and their applications. In Gtz ALEFELD et Jrgen HERZBERGER, diteurs, Numerical Methods and Error Bounds, proceedings of the IMACS-GAMM International Symposium on Numerical Methods and Error Bounds, pages 224--233, Oldenburg, Germany, Juillet ####. Berlin, Akademie Verlag.  Home/Search   Document Not in Database   Summary   Related Articles

....degrees of freedom in a reasonable time is beyond reach for the moment. Nevertheless, a comforting idea is that most of the traditional camera movements involve but few of the degrees of freedom, thenceforth reducing the number of variables to consider. Following the work of Markov [27] and Shary [36], a direction for future research is to compare the use of Kaucher arithmetic [25] to compute inner approximations of relations with the use of outer contracting operators. Yet, this approach requires algebraizing trigonometric constraints, an operation known to slow down computation [30] ....

.... of the relation underlying a real constraint system : starting from a seed known to be included in the relation, they expand the domain of the variables as much as possible until obtaining a maximal subset of the inner approximation (with maximality to be understood in the sense of Shary [36, 35]) A drawback of their method lies in that they do not provide any means to compute the seed. An interesting direction for research would be to try using our algorithm to quickly isolate such a seed for each connected subset of the inner approximation, then resorting to their method to obtain ....

Sergey Petrovich SHARY. Algebraic solutions to interval linear equations and their applications. In Gtz ALEFELD et Jrgen HERZBERGER, diteurs, Numerical Methods and Error Bounds, proceedings of the IMACS-GAMM International Symposium on Numerical Methods and Error Bounds, pages 224--233, Oldenburg, Germany, Juillet ####. Berlin, Akademie Verlag.

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