206 citations · 805 across the 35 of their papers we have counts for
3 papers · 1 filter
On matrix balancing and eigenvector computation
Rodney James, Julien Langou, Bradley R. Lowery
Balancing a matrix is a preprocessing step while solving the nonsymmetric eigenvalue problem. Balancing a matrix reduces the norm of the matrix and hopefully this will improve the…
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…
Stability Analysis of QR factorization in an Oblique Inner Product
Bradley R. Lowery, Julien Langou
In this paper we consider the stability of the QR factorization in an oblique inner product. The oblique inner product is defined by a symmetric positive definite matrix A. We anal…