4 papers
Orthogonal iterations on Structured Pencils
Roberto Bevilacqua, Gianna M. Del Corso, Luca Gemignani
We present a class of fast subspace tracking algorithms based on orthogonal iterations for structured matrices/pencils that can be represented as small rank perturbations of unitar…
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
Luca Gemignani, Lucia Romani, Alberto Viscardi
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate in…
Efficient Reduction of Compressed Unitary plus Low-rank Matrices to Hessenberg form
Roberto Bevilacqua, Gianna M. Del Corso, Luca Gemignani
We present fast numerical methods for computing the Hessenberg reduction of a unitary plus low-rank matrix , where is a unitary matrix repre…
Fast QR iterations for unitary plus low rank matrices
Roberto Bevilacqua, Gianna M. Del Corso, Luca Gemignani
Some fast algorithms for computing the eigenvalues of a block companion matrix , where is unitary block circulant and $X, Y \in\mathbb{C}…