Titlebook: Mathematical Aspects of Computer and Information Sciences; 8th International Co Daniel Slamanig,Elias Tsigaridas,Zafeirakis Zafeir Conferen

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Jejune

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Proving Two Conjectural Series for , and Discovering More Series for y presented method i.e., we view the series as specializations of generating series and derive integral representations. Using substitutions, we express these integral representations in terms of cyclotomic harmonic polylogarithms. Finally, by applying known relations among the cyclotomic harmonic p

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Generalized Integral Dependence Relations theory of Grothendieck local duality on residues, an effective algorithm is introduced for computing generalized integral dependence relations. It is shown that, with the aid of local cohomology, generalized integral dependence relations in the ring of convergent power series can be computed in a p

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Comprehensive , Factors of Polynomial Matricescial cases can be discontinuous with respect to the parameters, the discontinuities being triggered by zero pivots encountered during factorization. For polynomial matrices, we describe an implementation of comprehensive LU decomposition in ., using the . package.

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Sublinear Cost Low Rank Approximation via Subspace Samplingomputations with LRA can be performed at ., that is, by using much fewer memory cells and arithmetic operations than an input matrix has entries. Although every sublinear cost algorithm for LRA fails to approximate the worst case inputs, we prove that our sublinear cost variations of a popular subsp

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New Practical Advances in Polynomial Root Clustering their previous best subdivision algorithms our root-finders are robust even for multiple roots of a polynomial given by a black box for the approximation of its coefficients, and their complexity decreases at least proportionally to the number of roots in a region of interest (ROI) on the complex p