On angles and distances between subspaces

DOI10.1016/j.laa.2009.07.021zbMath1177.15024OpenAlexW1974757430MaRDI QIDQ734937

Götz Trenkler, Oskar Maria Baksalary

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.021

zbMATH Keywords

incidencegapMoore-Penrose inversenilpotent matricesspectral normorthogonal projectorscoefficient of inclinationdimension of inclinationdistances between subspacesEP-matricesinclinednessminimal angle

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

A gentle guide to the basics of two projections theory ⋮ On a subspace metric based on matrix rank ⋮ On subspace distances determined by the Frobenius norm ⋮ Dynamical criteria for the evolution of the stochastic dimensionality in flows with uncertainty ⋮ Characterizations of woven frames ⋮ On a pair of vector spaces ⋮ On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\). ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ On column and null spaces of functions of a pair of oblique projectors ⋮ On the angle and the minimal angle between subspaces ⋮ Further results on the Moore–Penrose invertibility of projectors and its applications

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