4 papers · 1 filter
Halving the size of skew-symmetric eigenvalue problems via the polar decomposition
Daniel Kressner, Simon Mataigne
This paper introduces a novel algorithm for computing eigenvalues and eigenvectors of a dense real skew-symmetric matrix . Its main ingredient is the computation of a polar fact…
A Jacobi-like algorithm for normal matrices by the skew-symmetric part
Simon Mataigne, P. -A. Absil
We present a fast Jacobi-like algorithm for computing the eigenvalues, and optionally the eigenvectors, of a real normal matrix. The method gains a computational advantage by using…
The eigenvalue decomposition of normal matrices by the skew-symmetric part
Simon Mataigne, Kyle A. Gallivan
We propose a new method for computing the eigenvalue decomposition of a dense real normal matrix through the decomposition of its skew-symmetric part. The method relies on algo…
An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics
Simon Mataigne, Ralf Zimmermann, Nina Miolane
Since the popularization of the Stiefel manifold for numerical applications in 1998 in a seminal paper from Edelman et al., it has been exhibited to be a key to solve many problems…