2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
On an index reduction method by deflation for differential-algebraic equations
Fabien Monfreda, Jean-Claude Yakoubsohn
We study a deflation method to reduce and to solve linear dfferential-algebraic equations (DAEs). It consists to define a sequence of DAEs with index reduction of one unit by step.…