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On the least squares distance between affine subspaces

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Publication:1914233
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DOI10.1016/0024-3795(95)00648-6zbMath0852.15003OpenAlexW2128552932MaRDI QIDQ1914233

Götz Trenkler, Jürgen Gross

Publication date: 4 December 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00648-6


zbMATH Keywords

Moore-Penrose inversesgeneralized inversesaffine subspacessystems of linear equationsEuclidean distancedistance of flats


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Elementary problems in Euclidean geometries (51M04) Vector spaces, linear dependence, rank, lineability (15A03)


Related Items (1)

Secant update generalized version of PSB: a new approach



Cites Work

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  • Spaces of closest fit
  • Distance and parallelism between flats in \(R^ n\)
  • A study of the influence of the natural restrictions on estimation problems in the singular Gauss-Markov model
  • Categorical information and the singular linear model
  • Linear and ellipsoidal restrictions in linear regression


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