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On Principal Angles between Subspaces of Euclidean Space

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Publication:2706249
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DOI10.1137/S0895479897320824zbMath0968.65021OpenAlexW2087142053MaRDI QIDQ2706249

Zlatko Drmač

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479897320824

zbMATH Keywords

numerical examplessingular value decompositionorthogonalizationnumerical stabilitysingular valuesill-conditioningbackward error analysiscanonical correlationsprincipal anglesBjörck-Golub algorithmGaussian factorizations


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonalization in numerical linear algebra (65F25)


Related Items

On the largest principal angle between random subspaces, Canonical analysis relative to a closed subspace, Vector Fitting for Matrix-valued Rational Approximation, Applications of CS decomposition in linear combinations of two orthogonal projectors, The many proofs of an identity on the norm of oblique projections, Matrices \(A\) such that \(AA^\dagger-A^\dagger A\) are nonsingular, Euclidean Representation of Low-Rank Matrices and Its Geometric Properties, Blade products and angles between subspaces


Uses Software

  • LAPACK
  • mctoolbox


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