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Original Articles

Doubly stochastic matrices whose squares are idempotent

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Pages 343-349 | Received 27 Jul 1993, Published online: 30 May 2007

References

  • Gantmacher , F. R. 1959 . Matrix theory , Vol. 2 , New York : Chelsea .
  • Minc , H. 1982 . Inverse elementary divisor problems for doubly stochastic matrices . Linear and Multilinear Algebra , 11 : 121 – 131 .
  • Minc , H. 1988 . Nonnegative matrices , New York : John Wiley and Sons .
  • Sinkhor , R. 1962 . On two problems concerning doubly stochastic matrices , Madison : University of Wisconsin . Ph.D.dissertation
  • Sinkhorn , R. 1968 . Two results concerning doubly stochastic matrices . Amer. Math. Monthly , 75 : 632 – 634 .
  • Sinkhorn , R. 1973 . Doubly stochastic matrices whose squares leave the permanent invariant . Linear and Multilinear Algebra , 1 : 103 – 118 .
  • Sinkhorn , R. 1976 . Doubly stochastic matrices whose squares decrease the permanent . Linear and Multilinear Algebra , 4 : 123 – 128 .

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