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Titlebook: Computer Algebrain Scientific Computing; 23rd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 202

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/233409.jpg
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https://doi.org/10.1007/978-3-030-85165-1adaptive algorithms; adaptive control systems; artificial intelligence; automation; computer networks; co
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978-3-030-85164-4Springer Nature Switzerland AG 2021
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On Rational Solutions of Pseudo-linear Systems,utation of rational solutions for a sole pseudo-linear system. Using the general setting of pseudo-linear algebra, we revisit the computation of rational solutions for a pseudo-linear system. In particular, we provide a unified and efficient approach for computing a universal denominator. All the algorithms are implemented in Maple.
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Decoupling Multivariate Fractions,orithm builds a tree where internal nodes are operators, and leaves are fractions depending on pairwise disjoint sets of variables. The motivation of this work is to obtain compact forms of fractions, which are more readable and meaningful for the user or the modeler, and better suited for interval arithmetic.
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,Towards Extending Fulton’s Algorithm for Computing Intersection Multiplicities Beyond the Bivariateoperties. This procedure leads to a novel, standard basis free approach for computing intersection multiplicities beyond the case of two planar curves, which can cover cases the current standard basis free techniques cannot.
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