• RecordNumber
    1956
  • Author

    Puntanen, Simo

  • Title

    Matrix tricks for linear statistical models: our personal top twenty

  • Author Statement
    Simo Puntanen, George P.H. Styan, Jarkko Isotalo.
  • Publication
    Springer
  • Publication Year
    c2011
  • Collation
    xvii, 186 p. ill.
  • Notes
    Includes bibliographical references (p. 439-468) and indexes. , Easy column space tricks -- Easy projector tricks -- Easy correlation tricks -- Generalized inverses in a nutshell -- Rank of the partitioned matrix and the matrix product -- Rank cancellation rule -- Sum of orthogonal projectors -- A decomposition of the orthogonal projector -- Minimizing cov(y--FX) -- BLUE -- General solution to AYB=C -- Invariance with respect to the choice of generalized inverse -- Block-diagonalization and the Schur complement -- Nonnegative definiteness of a partitioned matrix -- The matrix M -- Disjointness of column spaces -- Full rank decomposition -- Eigenvalue decomposition -- Singular value decomposition -- The Cauchy-Schwarz inequality -- Notation -- List of figures and philatelic items
  • Subject

    Linear models (Statistics) , Matrix analytic methods

  • ADDED ENTRIES
    Styan, George Peter Hansbenno , Isotalo, Jarkko ,
  • LC Class
    QA
  • LC Number
    276
  • LC CutterNumber
    .P83
  • LC Date
    2011