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math.NA2026
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…
math.NA2026
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…
math.NA2024
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…