output
20212026
most citedThe return of (I)DeFiX

18 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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cs.SC2025★ 1 cited

A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications

Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic

The quest for non-commutative matrix multiplication algorithms over non-commutative rings in small dimensions has recently seen significant progress. Specifically, the number of sc…

cs.SC2023

Exact computations with quasiseparable matrices

Clément Pernet, Hippolyte Signargout, Gilles Villard

Quasi-separable matrices are a class of rank-structured matriceswidely used in numerical linear algebra and of growing interestin computer algebra, with applications in e.g. the li…

cs.SC2021

Computing the Characteristic Polynomial of Generic Toeplitz-like and Hankel-like Matrices

Clément Pernet, Hippolyte Signargout, Pierre Karpman +1

New algorithms are presented for computing annihilating polynomials of Toeplitz, Hankel, and more generally Toeplitz+ Hankel-like matrices over a field. Our approach follows works…

cs.SC2021

Some fast algorithms multiplying a matrix by its adjoint

Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic

We present a non-commutative algorithm for the multiplication of a 2 x 2 block-matrix by its adjoint, defined by a matrix ring anti-homomorphism. This algorithm uses 5 block produc…