Riemannian Optimization on the Symplectic Stiefel Manifold
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Publication:4997174
DOI10.1137/20M1348522WikidataQ115246889 ScholiaQ115246889MaRDI QIDQ4997174
Pierre-Antoine Absil, Nguyen Thanh Son, Tatjana Stykel, Bin Gao
Publication date: 28 June 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.15226
Numerical mathematical programming methods (65K05) Programming in abstract spaces (90C48) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
Related Items (11)
Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses ⋮ Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems ⋮ Implicit steepest descent algorithm for optimization with orthogonality constraints ⋮ A collection of efficient retractions for the symplectic Stiefel manifold ⋮ Proximal gradient/semismooth Newton methods for projection onto a polyhedron via the duality-gap-active-set strategy ⋮ Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications ⋮ Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem ⋮ A Riemannian rank-adaptive method for low-rank matrix completion ⋮ Global convergence of Riemannian line search methods with a Zhang-Hager-type condition ⋮ Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization ⋮ Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric
Uses Software
Cites Work
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