3 papers
math.NA2023
High Order Numerical Methods To Approximate The Singular Value Decomposition
Diego Armentano, Jean-Claude Yakoubsohn
In this paper, we present a class of high order methods to approximate the singular value decomposition of a given complex matrix (SVD). To the best of our knowledge, only methods…
math.NA2021
Newton-Type Methods For Simultaneous Matrix Diagonalization
Rima Khouja, Bernard Mourrain, Jean-Claude Yakoubsohn
This paper proposes a Newton-type method to solve numerically the eigenproblem of several diagonalizable matrices, which pairwise commute. A classical result states that these matr…
math.NA2017
Numerical approximation of multiple isolated roots of analytic systems
Marc Giusti, Jean-Claude Yakoubsohn
We propose a numerical analysis of a simplified version of the previous paper "Multiplicity hunting and approximating multiple roots of polynomial systems" written by the two autho…