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Linear and Multilinear Algebra Volume 59, 2011 - Issue 4
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Original Articles

A structural characterization of real k-potent matrices

Rong Huang School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, ChinaCorrespondence[email protected]
,
Jianzhou Liu School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
&
Li Zhu School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
Pages 433-439 | Received 06 Jun 2009, Accepted 11 Jan 2010, Published online: 22 Feb 2011

References

  • Berman , A and Plemmons , RJ . 1978 . Nonnegative Matrices in the Mathematical Sciences , London : Academic Press .
  • Flor , P . 1969 . On groups of nonnegative matrices . Compositio Math. , 21 : 376 – 382 .
  • Huang , R . 2009 . Sign k-potent sign patterns and ray k-potent ray patterns that allow k-potence . Linear Algebra Appl. , 430 : 2149 – 2156 .
  • Jeter , M and Pye , W . 1982 . Nonnegative (s, t)-potent matrices . Linear Algebra Appl. , 45 : 109 – 121 .
  • Li , Z , Eschenbach , C and Hall , F . 1996 . The structure of nonnegative cyclic matrices . Linear Multilinear Alg. , 41 : 23 – 33 .
  • Li , Z , Hall , F and Eschenbach , C . 1994 . On the period and base of a sign pattern matrix . Linear Algebra Appl. , 212/213 : 101 – 120 .
  • Stuart , J , Eschenbach , C and Kirkland , S . 1999 . Irreducible sign k-potent sign pattern matrices . Linear Algebra Appl. , 294 : 85 – 92 .
  • Sinkhorn , R . 1968 . Two results concerning doubly stochastic matrices . Am. Math. Monthly , 75 : 632 – 634 .

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