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Original Articles

Properties of normalr-potent matrices

Pages 325-336 | Received 18 Apr 1983, Accepted 08 Oct 1984, Published online: 02 Apr 2008

References

  • Anderson , T. W. and Styan , G.P.H. 1982 . “ Cochran's theorem, rank additivity, and tripotent matrices ” . In Statistics and Probability Edited by: Rao , C. R. , Kallianpur , G. , Krishnaiah , P. R. and Ghosh , J. K. 1 – 23 . North-Holland
  • Ben-Israel , A. and Greville , T. 1974 . “ Generalized Inverses ” . In Theory and Applications , John Wiley and Sons .
  • Boullion , T. and Odell , P. 1971 . Generalized Inverse Matrices , John Wiley and Sons .
  • Chipman , J. S. and Rao , M. M. 1964 . Projections, generalized inverses, and quadratic forms . J. Math. Anal, and Appl , 9 : 1 – 11 .
  • Cochran , W. G. 1934 . The distribution of quadratic forms in a normal system with . Proceedings of the Cambridge Philosophical Society , 30 : 178 – 181 .
  • Graybill , F. A. and Marsaglia , G. 1957 . Idempotent matrices and quadratic forms in the general linear hypothesis . Annals Math. Stat. , 28 : 676 – 686 .
  • Khatri , C.G. 1980 . Powers of matrices and idempotency . Linear Algebra and its Applications , 33 : 57 – 65 .
  • Marsaglia , G. and Styan , G.P.H. 1974 . Equalities and inequalities for ranks of matrices . Linear and Multilinear Algebra , 2 : 269 – 292 .
  • McCloskey , J. 1984 . Characterizations of r-potent matrices . Mathematical Proceedings of the Cambridge Philosophical Society , 96 : 213 – 222 .

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