12 citations · 19 across the 9 of their papers we have counts for
9 papers
Probabilist Set Inversion using a new framework for interval arithmetic
Abdelouahab Kenoufi, Nicolas Goze, Michel Goze
In this paper, we present how to use a free algebra based interval arithmetics framework in order to build better defined inclusion function for interval semi-group and for its ass…
A new algebraic and arithmetic framework for interval computations
Nicolas Goze, Michel Goze, Abdel Kenoufi +1
In this paper we propose some very promissing results in interval arithmetics which permit to build well-defined arithmetics including distributivity of multiplication and division…
Linear Algebra in the vector space of intervals
Nicolas Goze
In a previous paper, we have given an algebraic model to the set of intervals. Here, we apply this model in a linear frame. We define a notion of diagonalization of square matrices…
Poisson structures on associated with rigid Lie algebras
Nicolas Goze
We present the classical Poisson-Lichnerowicz cohomology for the Poisson algebra of polynomials using exterior calculus. After presenting some non ho…
n-Lie algebras
Michel Goze, Nicolas Goze, Elisabeth Remm
The notion of -ary algebras, that is vector spaces with a multiplication concerning -arguments, , became fundamental since the works of Nambu. Here we first present…
The n-ary algebra of tensors and of cubic and hypercubic matrices
Nicolas Goze, Elisabeth Remm
We define a ternary product and more generally a (2k+1)-ary product on the vector space T^p_q(E) of tensors of type (p, q) that is contravariant of order p, covariant of order q an…