11 citations · 23 across the 13 of their papers we have counts for
4 papers · 1 filter
On a new kind of Ansatz Spaces for Matrix Polynomials
Heike Fassbender, Philip Saltenberger
In this paper, we introduce a new family of equations for matrix pencils that may be utilized for the construction of strong linearizations for any square or rectangluar matrix pol…
On vector spaces of linearizations for matrix polynomials in orthogonal bases
Heike Faßbender, Philip Saltenberger
Matrix polynomials given in an orthogonal basis are considered. Following the ideas of Mackey et al. "Vector spaces of Linearizations for Matrix Polynomials" (2006), the vec- tor s…
Symmetric and skew-symmetric block-Kronecker linearizations
Heike Faßbender, Javier Perez, Nikta Shayanfar
Many applications give rise to structured matrix polynomials. The problem of constructing structure-preserving strong linearizations of structured matrix polynomials is revisited i…
Preconditioned Iterative Solves in Model Reduction of Second Order Linear Dynamical Systems
Navneet Pratap Singh, Kapil Ahuja, Heike Fassbender
Recently a new algorithm for model reduction of second order linear dynamical systems with proportional damping, the Adaptive Iterative Rational Global Arnoldi (AIRGA) algorithm, h…