The condition number of singular subspaces, revisited

DOI10.1016/j.laa.2024.02.001arXiv2208.08368OpenAlexW4391649400WikidataQ128364719 ScholiaQ128364719MaRDI QIDQ6118782

Nick Vannieuwenhoven

Publication date: 28 February 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08368

zbMATH Keywords

condition numberGrassmannianchordal distancesingular subspace

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

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• Multilinear algebra. 2nd ed
• Perturbation analysis of singular subspaces and deflating subspaces
• Schubert Varieties and Distances between Subspaces of Different Dimensions
• Condition
• Introduction to Smooth Manifolds
• Grassman manifolds as subsets of Euclidean spaces
• The Geometry of Algorithms with Orthogonality Constraints
• Optimization algorithms exploiting unitary constraints
• Riemannian Geometry
• A Theory of Condition
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
• Tensors in computations
• Encyclopedia of Distances

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