786 citations · 2.1k across the 40 of their papers we have counts for
4 papers · 1 filter
H2-optimal approximation of MIMO linear dynamical systems
Paul Van Dooren, Kyle A. Gallivan, P. -A. Absil
We consider the problem of approximating a multiple-input multiple-output (MIMO) rational transfer function of high degree by another rational transf…
Low-rank optimization for semidefinite convex problems
M. Journée, F. Bach, P. -A. Absil +1
We propose an algorithm for solving nonlinear convex programs defined in terms of a symmetric positive semidefinite matrix variable . This algorithm rests on the factorization $…
A geometric Newton method for Oja's vector field
P. -A. Absil, M. Ishteva, L. De Lathauwer +1
Newton's method for solving the matrix equation runs up against the fact that its zeros are not isolated. This is due to a symmetry of by the action of…
Two-sided Grassmann-Rayleigh quotient iteration
P. -A. Absil, P. Van Dooren
The two-sided Rayleigh quotient iteration proposed by Ostrowski computes a pair of corresponding left-right eigenvectors of a matrix . We propose a Grassmannian version of this…