Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information

DOI10.1007/978-3-319-39929-4_36zbMath1354.65140OpenAlexW2553918781MaRDI QIDQ3179680

Ralf Zimmermann

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_36

zbMATH Keywords

trajectoriessingular value decompositionStiefel manifoldGrassmann manifoldnumerical experimentparametric model reductionlocal linearization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) System structure simplification (93B11)

Related Items (1)

7 Manifold interpolation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Numerical computation of an analytic singular value decomposition of a matrix valued function
• Choosing roots of polynomials smoothly
• A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
• The Geometry of Algorithms with Orthogonality Constraints
• Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition

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