Publications (5)
Bidiagonalization with Parallel Tiled Algorithms
Mathieu Faverge, Julien Langou, Yves Robert +1
We consider algorithms for going from a "full" matrix to a condensed "band bidiagonal" form using orthogonal transformations. We use the framework of "algorithms by tiles". Within…
Hierarchical QR factorization algorithms for multi-core cluster systems
Jack Dongarra, Mathieu Faverge, Thomas Herault +2
This paper describes a new QR factorization algorithm which is especially designed for massively parallel platforms combining parallel distributed multi-core nodes. These platforms…
Efficient Parallel Solution of the 3D Stationary Boltzmann Transport Equation for Diffusive Problems
Salli Moustafa, François Févotte, Mathieu Faverge +2
This paper presents an efficient parallel method for the deterministic solution of the 3D stationary Boltzmann transport equation applied to diffusive problems such as nuclear core…
Taking advantage of hybrid systems for sparse direct solvers via task-based runtimes
Xavier Lacoste, Mathieu Faverge, George Bosilca +2
The ongoing hardware evolution exhibits an escalation in the number, as well as in the heterogeneity, of computing resources. The pressure to maintain reasonable levels of performa…
Designing LU-QR hybrid solvers for performance and stability
Mathieu Faverge, Julien Herrmann, Julien Langou +3
This paper introduces hybrid LU-QR al- gorithms for solving dense linear systems of the form Ax = b. Throughout a matrix factorization, these al- gorithms dynamically alternate LU…