@Article{         Gros_2000aa,
  abstract      = { Consider an arbitrary symmetric nonnegative definite matrix A and its Moore-Penrose inverse A+, partitioned, respectively asExplicit expressions for G1, G2 and G4 in terms of E, F and H are given. Moreover, it is proved that the generalized Schur complement (A+/G4)=G1-G2G4+G2' is always below the Moore-Penrose inverse (A/H)+ of the generalized Schur complement (A/H)=E-FH+F' with respect to the Löwner partial ordering.},
  author        = {Groß, Jürgen},
  doi           = {10.1016/S0024-3795(99)00073-7},
  file          = {Gros_2000aa.pdf},
  issn          = {0024-3795},
  journal       = {Linear Algebra and its Applications},
  keywords      = {schur,linear-systems,matrix-algebra},
  langid        = {english},
  number        = {1-3},
  pages         = {113--121},
  publisher     = {Elsevier},
  title         = {The Moore-Penrose inverse of a partitioned nonnegative definite matrix},
  volume        = {321},
  year          = {2000},
  shortjournal  = {Lin. Algebra. Appl.}
}

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