R Zimmermann - Model Order Reduction, 2021 - library.oapen.org
One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …
K Hüper, F Silva Leite - Journal of Dynamical and Control Systems, 2007 - Springer
We present a procedure to generate smooth interpolating curves on submanifolds, which are given in closed form in terms of the coordinates of the embedding space. In contrast to …
R Zimmermann, K Hüper - SIAM Journal on Matrix Analysis and Applications, 2022 - SIAM
We address the problem of computing Riemannian normal coordinates on the real, compact Stiefel manifold of orthonormal frames. The Riemannian normal coordinates are based on …
A unified framework for studying extremal curves on real Stiefel manifolds is presented. We start with a smooth one-parameter family of pseudo-Riemannian metrics on a product of …
Y Chitour, MG Molina, P Kokkonen - Geometric control theory and sub …, 2014 - Springer
In the present paper we give a historical account-ranging from classical to modern results–of the problem of rolling two Riemannian manifolds one on the other, with the restrictions that …
H Xu, Z Chen, R Chen, J Cao - 2012 Third international …, 2012 - ieeexplore.ieee.org
Media streaming is the killer application in current Internet. There are a variety of media streaming techniques in today's Internet, such as RTSP, HTTP live streaming and Adobe …
R Zimmermann - arXiv preprint arXiv:1902.06502, 2019 - arxiv.org
One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the …
V Jurdjevic, I Markina, F Silva Leite - The Journal of Geometric Analysis, 2023 - Springer
The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language …
We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped with α-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more …