Ralf Zimmermann

35 papers Misc 1Journal 32Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	An new polar factor retraction on the Stiefel manifold with closed-form inverse. CoRR Rasmus Jensen, Ralf Zimmermann
2025	J	`jnl`	Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems. SIAM J. Sci. Comput. Kai Cheng, Ralf Zimmermann
2025	J	`jnl`	An Efficient Algorithm for the Riemannian Logarithm on the Stiefel Manifold for a Family of Riemannian Metrics. SIAM J. Matrix Anal. Appl. Simon Mataigne, Ralf Zimmermann, Nina Miolane
2025	J	`jnl`	High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities. SIAM J. Matrix Anal. Appl. Ralf Zimmermann, Jakob Stoye
2025	J	`jnl`	Maximum volume coordinates for Grassmann interpolation: Lagrange, Hermite, and errors. CoRR Rasmus Jensen, Ralf Zimmermann
2025	J	`jnl`	Shortest Geodesic Loops, Sectional Curvature, and Injectivity Radius of the Stiefel Manifold. CoRR Jakob Stoye, Simon Mataigne, Pierre-Antoine Absil, Ralf Zimmermann
2025	J	`jnl`	The Injectivity Radius of the Compact Stiefel Manifold under the Euclidean Metric. SIAM J. Matrix Anal. Appl. Ralf Zimmermann, Jakob Stoye
2024	J	`jnl`	A Grassmann manifold handbook: basic geometry and computational aspects. Adv. Comput. Math. Thomas Bendokat, Ralf Zimmermann, Pierre-Antoine Absil
2024	J	`jnl`	An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics. CoRR Simon Mataigne, Ralf Zimmermann, Nina Miolane
2024	J	`jnl`	Correction: A Grassmann manifold handbook: basic geometry and computational aspects. Adv. Comput. Math. Thomas Bendokat, Ralf Zimmermann, Pierre-Antoine Absil
2024	J	`jnl`	Multivariate Hermite Interpolation on Riemannian Manifolds. SIAM J. Sci. Comput. Ralf Zimmermann, Ronny Bergmann
2024	J	`jnl`	Randomized greedy magic point selection schemes for nonlinear model reduction. Adv. Comput. Math. Ralf Zimmermann, Kai Cheng
2024	J	`jnl`	Riemannian optimization on the symplectic Stiefel manifold using second-order information. CoRR Rasmus Jensen, Ralf Zimmermann
2024	J	`jnl`	The injectivity radius of the compact Stiefel manifold under the Euclidean metric. CoRR Ralf Zimmermann, Jakob Stoye
2023	J	`jnl`	Sliced Gradient-Enhanced Kriging for High-Dimensional Function Approximation. SIAM J. Sci. Comput. Kai Cheng, Ralf Zimmermann
2022	J	`jnl`	Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance. SIAM J. Matrix Anal. Appl. Ralf Zimmermann, Knut Hüper
2021	J	`jnl`	A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. Math. Comput. Ralf Zimmermann
2021	—	`conf`	Efficient Quasi-Geodesics on the Stiefel Manifold. GSI Thomas Bendokat, Ralf Zimmermann
2021	J	`jnl`	Efficient Quasi-Geodesics on the Stiefel Manifold. CoRR Thomas Bendokat, Ralf Zimmermann
2021	J	`jnl`	The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications. CoRR Thomas Bendokat, Ralf Zimmermann
2020	J	`jnl`	A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects. CoRR Thomas Bendokat, Ralf Zimmermann, Pierre-Antoine Absil
2020	J	`jnl`	Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds. SIAM J. Sci. Comput. Ralf Zimmermann
2019	J	`jnl`	Hermite Interpolation and data processing errors on Riemannian matrix manifolds. CoRR Ralf Zimmermann
2018	J	`jnl`	Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction. SIAM J. Matrix Anal. Appl. Ralf Zimmermann, Benjamin Peherstorfer, Karen Willcox
2018	J	`jnl`	Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. Adv. Comput. Math. Peter Benner, Heike Faßbender, Michael Hinze, Tatjana Stykel, Ralf Zimmermann
2018	J	`jnl`	Theoretical investigations of the new Cokriging method for variable-fidelity surrogate modeling - Well-posedness and maximum likelihood training. Adv. Comput. Math. Anna Bertram, Ralf Zimmermann
2017	J	`jnl`	A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric. SIAM J. Matrix Anal. Appl. Ralf Zimmermann
2016	J	`jnl`	An Accelerated Greedy Missing Point Estimation Procedure. SIAM J. Sci. Comput. Ralf Zimmermann, Karen Willcox
2015	—	`conf`	Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information. ENUMATH Ralf Zimmermann
2014	J	`jnl`	A Locally Parametrized Reduced-Order Model for the Linear Frequency Domain Approach to Time-Accurate Computational Fluid Dynamics. SIAM J. Sci. Comput. Ralf Zimmermann
2014	J	`jnl`	Erratum to "Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes". J. Appl. Math. Ralf Zimmermann
2013	J	`jnl`	Gradient-enhanced surrogate modeling based on proper orthogonal decomposition. J. Comput. Appl. Math. Ralf Zimmermann
2013	J	`jnl`	On the Maximum Likelihood Training of Gradient-Enhanced Spatial Gaussian Processes. SIAM J. Sci. Comput. Ralf Zimmermann
2010	J	`jnl`	Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes. J. Appl. Math. Ralf Zimmermann
2010	Misc	`conf`	Non-linear reduced order models for steady aerodynamics. ICCS Ralf Zimmermann, Stefan Görtz