2010/06/28 by Nicolas Goze, Goze, Nicolas
Computer Science · Mathematics · #65F99 #FOS: Mathematics #Numerical Analysis (math.NA) #cs.NA #math.NA #msc:65F99
paper · pdf · doi:10.48550/arxiv.1006.5311
arxiv created 2010/06/28 · arxiv updated 2010/06/29
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 whose coefficients are intervals. But in this case, with respect to the real case, a matrix of order n could have more than n eigenvalues (the set of intervals is not factorial). We consider a notion of central eigenvalues permits to describe criterium of diagonalization. As application, we define a notion of Exponential mapping.