Generalized interval arithmetic on compact matrix Lie groups
نویسندگان
چکیده
We introduce a generalization of intervals over compact matrix Lie groups. Interval group elements are defined using a midpoint-radius representation. Furthermore, we define the respective group operations and the action of interval group elements on vector spaces. We developed structures and operations are implemented for the special case of orthogonal matrices in the matrix library of the COCONUT Environment.
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