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Numerical Methods and Applications
Generalized intervals (intervals whose bounds are not constrained to be increasingly ordered) extend classical intervals providing better algebraic properties. In particular, the generalized interval arithmetic is a group for addition and for multiplication of zero free intervals. These properties allow one constructing a LU decomposition of a generalized interval matrix A: the two computed generalized interval matrices L and U satisfy A = LU with equality instead of the weaker inclusiondoi:10.1007/978-3-540-70942-8_37 dblp:conf/nma/GoldsztejnC06 fatcat:tsnu4qtoc5dpdnmsphfkgn4yn4