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Symmetric Tensor Decomposition is a major problem that arises in areas such as signal processing, statistics, data analysis and computational neuroscience. It is equivalent to write a homogeneous polynomial in $n$ variables of degree $D$ as a sum of $D$-th powers of linear forms, using the minimal number of summands. This minimal number is called the rank… (More)

The problem of isolating the real roots of a univariate polynomial with integer coefficients is an important problem in computational mathematics. Given a polynomial with integer coefficients, [EQUATION], the objective is to isolate the real roots of <i>f</i>, that is to compute intervals with rational endpoints that contain one and only one root of… (More)

In this paper we find an exact formula for the eigenvalues of the iteration matrix of the Generalized Diffusion method (GDF) used in load balancing. This provides us with the optimum value of the extrapolation parameter, i.e. the parameter endowing GDF with extra flexibility compared to other iterative methods. We apply our technique to the broad class of… (More)

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