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On the relationship between the Hausdorff distance and matrix distances of ellipsoids

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Publication:1052637
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DOI10.1016/0024-3795(83)80021-4zbMath0516.52002OpenAlexW2028248016MaRDI QIDQ1052637

Alan J. Hoffman, Jean-Louis Goffin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)80021-4


zbMATH Keywords

ellipsoidHausdorff distance of subsets of Rnmatrix distance


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Euclidean analytic geometry (51N20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)


Related Items

Estimates of reachable sets of control systems with nonlinearity and parametric perturbations ⋮ A note on the Hausdorff distance between norm balls and their linear maps ⋮ Boundedness of Journé operators with matrix weights ⋮ Variable metric relaxation methods, part II: The ellipsoid method ⋮ External ellipsoidal approximations for set evolution equations



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