Search Results - "Lebreton, Romain"

Relaxed Hensel lifting of triangular sets by Lebreton, Romain

“…In this paper, we present a new lifting algorithm for triangular sets over general p-adic rings. Our contribution is to give, for any p-adic triangular set, a…”
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Simultaneous Rational Function Reconstruction with errors: Handling multiplicities and poles by Guerrini, Eleonora, Lairedj, Kamel, Lebreton, Romain, Zappatore, Ilaria

“…In this paper, we focus on extensions of methods for interpolating rational functions from their evaluations, in the context of erroneous evaluations. This…”
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A simple and fast online power series multiplication and its analysis by Lebreton, Romain, Schost, Éric

“…This paper focuses on online (or relaxed) algorithms for the multiplication of power series over a field and their complexity analysis. We propose a new online…”
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Embedding of some classes of operators into strongly continuous semigroups by Chalendar, Isabelle, Lebreton, Romain

“…In this paper we study the embedding problem of an operator into a strongly continuous semigroup. We obtain characterizations for some classes of operators,…”
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Cyclicity of the shift operator through Bezout identities by Fricain, Emmanuel, Lebreton, Romain

“…In this paper, we study the cyclicity of the shift operator $S$ acting on a Banach space $\X$ of analytic functions on the open unit disc $\D$. We develop a…”
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Cyclicity of the shift operator and a related completeness problem in de Branges-Rovnyak spaces by Fricain, Emmanuel, Lebreton, Romain

“…In this paper, we study the cyclic vectors of the shift operator $S_b$ acting on de Branges-Rovnyak space $\mathcal H(b)$ associated to a non-extreme point of…”
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Probabilistic Analysis of LLL-based Decoder of Interleaved Chinese Remainder Codes by Abbondati, Matteo, Afflatet, Antoine, Guerrini, Eleonora, Lebreton, Romain

“…To date, Li et al. have presented the only decoder for Interleaved Chinese Remainder (ICR) codes [1]. The core of their ICR decoder is to find a short vector…”
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Polynomial Linear System Solving with Random Errors: new bounds and early termination technique by Eleonora, Guerrini, Romain, Lebreton, Ilaria, Zappatore

“…This paper deals with the polynomial linear system solving with errors (PLSwE) problem. Specifically, we focus on the evaluation-interpolation technique for…”
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Polynomial Linear System Solving with Errors by Simultaneous Polynomial Reconstruction of Interleaved Reed-Solomon Codes by Guerrini, Eleonora, Lebreton, Romain, Zappatore, Ilaria

“…In this paper we present a new algorithm for Polynomial Linear System Solving (via evaluation/interpolation) with errors. In this scenario, errors can occur in…”
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Enhancing simultaneous rational function recovery: adaptive error correction capability and new bounds for applications by Guerrini, Eleonora, Lebreton, Romain, Zappatore, Ilaria

“…In this work we present some results that allow to improve the decoding radius in solving polynomial linear systems with errors in the scenario where errors…”
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On the Uniqueness of Simultaneous Rational Function Reconstruction by Guerrini, Eleonora, Lebreton, Romain, Zappatore, Ilaria

“…This paper focuses on the problem of reconstructing a vector of rational functions given some evaluations, or more generally given their remainders modulo…”
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Power Series Solutions of Singular (q)-Differential Equations by Bostan, Alin, Chowdhury, Muhammad F. I, Lebreton, Romain, Salvy, Bruno, Schost, Éric

“…Proceedings ISSAC'12, pages 107-114, 2012 We provide algorithms computing power series solutions of a large class of differential or $q$-differential equations…”
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