On extremum properties of orthogonal quotients matrices

DOI10.1016/j.laa.2009.10.034zbMath1189.65067OpenAlexW2091660195MaRDI QIDQ847212

Achiya Dax

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.034

zbMATH Keywords

eigenvaluesRayleigh quotientFrobenius normsingular valuesEckart-Young theoremKy Fan's extremum principlesorthogonal quotient matricesthe orthogonal quotients equality

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Orthogonalization in numerical linear algebra (65F25)

Related Items (6)

A note on error bounds for pseudo skeleton approximations of matrices ⋮ A compact heart iteration for low-rank approximations of large matrices ⋮ Computing the smallest singular triplets of a large matrix ⋮ The numerical rank of Krylov matrices ⋮ A cross-product approach for low-rank approximations of large matrices ⋮ Approximate Error Bounds on Solutions of Nonlinearly Preconditioned PDEs

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