1 citations · 1 across the 3 of their papers we have counts for
4 papers
Communication efficient application of sequences of planar rotations to a matrix
Thijs Steel, Julien Langou
We present an efficient algorithm for the application of sequences of planar rotations to a matrix. Applying such sequences efficiently is important in many numerical linear algebr…
Parallel two-stage reduction to Hessenberg-triangular form
Thijs Steel, Raf Vandebril
We present a two-stage algorithm for the parallel reduction of a pencil to Hessenberg-triangular form. Traditionally, two-stage Hessenberg-triangular reduction algorithms achieve h…
A new deflation criterion for the QZ algorithm
Thijs Steel, Raf Vandebril, Julien Langou
The QZ algorithm computes the Schur form of a matrix pencil. It is an iterative algorithm and at some point, it must decide that an eigenvalue has converged and move on with anothe…
A multishift, multipole rational QZ method with aggressive early deflation
Thijs Steel, Daan Camps, Karl Meerbergen +1
The rational QZ method generalizes the QZ method by implicitly supporting rational subspace iteration. In this paper we extend the rational QZ method by introducing shifts and pole…