Alexandre Sedoglavic

31 papers A* 1B 7Journal 20Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
A more accurate rational non-commutative algorithm for multiplying 4x4 matrices using 48 multiplications.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2026 J jnl
Towards automated generation of fast and accurate algorithms for recursive matrix multiplication.
J. Symb. Comput.
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2025 J jnl
A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2025 J jnl
Towards automated generation of fast and accurate algorithms for recursive matrix multiplication.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2024 B conf
Strassen's algorithm is not optimally accurate.
ISSAC
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2024 J jnl
Strassen's algorithm is not optimally accurate.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2023 J jnl
Some fast algorithms multiplying a matrix by its adjoint.
J. Symb. Comput.
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2021 J jnl
Some fast algorithms multiplying a matrix by its adjoint.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2021 B conf
The Tensor Rank of 5x5 Matrices Multiplication is Bounded by 98 andIts Border Rank by 89.
ISSAC
Alexandre Sedoglavic, Alexey V. Smirnov
2021 J jnl
The tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89.
CoRR
Alexandre Sedoglavic, Alexey V. Smirnov
2020 B conf
On fast multiplication of a matrix by its transpose.
ISSAC
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2020 J jnl
On fast multiplication of a matrix by its transpose.
CoRR
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
2017 J jnl
A non-commutative algorithm for multiplying (7×7) matrices using 250 multiplications.
CoRR
Alexandre Sedoglavic
2017 J jnl
A non-commutative algorithm for multiplying 5 $\times$ 5 matrices using 99 multiplications.
CoRR
Alexandre Sedoglavic
2017 J jnl
Laderman matrix multiplication algorithm can be constructed using Strassen algorithm and related tensor's isotropies.
CoRR
Alexandre Sedoglavic
2011 J jnl
A geometric index reduction method for implicit systems of differential algebraic equations.
J. Symb. Comput.
Lisi D'Alfonso, Gabriela Jeronimo, François Ollivier, Alexandre Sedoglavic, Pablo Solernó
2011 B conf
Chemical Reaction Systems, Computer Algebra and Systems Biology - (Invited Talk).
CASC
François Boulier, François Lemaire, Michel Petitot, Alexandre Sedoglavic
2011 B conf
On the Regularity Property of Differential Polynomials Modulo Regular Differential Chains.
CASC
François Boulier, François Lemaire, Alexandre Sedoglavic
2010 — conf
A General Procedure for Accurate Parameter Estimation in Dynamic Systems Using New Estimation Errors.
ANB
Masahiko Nakatsui, Alexandre Sedoglavic, François Lemaire, François Boulier, Asli Ürgüplü, Katsuhisa Horimoto
2010 J jnl
A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations
CoRR
Lisi D'Alfonso, Gabriela Jeronimo, François Ollivier, Alexandre Sedoglavic, Pablo Solernó
2009 J jnl
Towards an Automated Reduction Method for Polynomial ODE Models of Biochemical Reaction Systems.
Math. Comput. Sci.
François Boulier, François Lemaire, Alexandre Sedoglavic, Asli Ürgüplü
2007 A* conf
Fast computation of power series solutions of systems of differential equations.
SODA
Alin Bostan, Frédéric Chyzak, François Ollivier, Bruno Salvy, Éric Schost, Alexandre Sedoglavic
2007 — conf
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries.
AB
Alexandre Sedoglavic
2006 J jnl
Fast computation of power series solutions of systems of differential equations
CoRR
Alin Bostan, Frédéric Chyzak, François Ollivier, Bruno Salvy, Éric Schost, Alexandre Sedoglavic
2006 J jnl
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries
CoRR
Evelyne Hubert, Alexandre Sedoglavic
2006 J jnl
Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries
CoRR
Alexandre Sedoglavic
2003 J jnl
Fast computation of discrete invariants associated to a differential rational mapping.
J. Symb. Comput.
Guillermo Matera, Alexandre Sedoglavic
2002 J jnl
A Probabilistic Algorithm to Test Local Algebraic Observability in Polynomial Time.
J. Symb. Comput.
Alexandre Sedoglavic
2002 B conf
The differential Hilbert function of a differential rational mapping can be computed in polynomial time.
ISSAC
Guillermo Matera, Alexandre Sedoglavic
2001 B conf
A probabilistic algorithm to test local algebraic observability in polynomial time.
ISSAC
Alexandre Sedoglavic
2001 — —
Méthodes seminumériques en algèbre différentielle~; applications à l'étude des propriétés structurelles de systèmes différentiels algébriques en automatique.
Alexandre Sedoglavic