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Linear and Multilinear Algebra Volume 55, 2007 - Issue 3
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Original Articles

Inertias of zero–nonzero patterns

In-Jae Kim Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria BC, Canada V8W 3P4
,
J. J. McDonald Mathematics Department, Washington State University, Pullman, Washington, USA 99164-3113
,
D. D. Olesky Department of Computer Science, University of Victoria, P.O. Box 3055, Victoria BC, Canada V8W 3P6Correspondence[email protected]
&
P. Van Den Driessche Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria BC, Canada V8W 3P4
Pages 229-238 | Received 07 Feb 2006, Accepted 02 May 2006, Published online: 30 Jan 2007

References

  • Britz , T , McDonald , JJ , Olesky , DD and van den Driessche , P . 2004 . Minimal spectrally arbitrary sign patterns. . SIAM Journal on Matrix Analysis and Applications , 26 : 257 – 271 .
  • Cavers , MS , Kim , I-J , Shader , BL and Vander Meulen , KN . 2005 . On determining minimal spectrally arbitrary patterns. . Electronic Journal of Linear Algebra , 13 : 240 – 248 .
  • Cavers , MS and Vander Meulen , KN . 2005 . Spectrally and inertially arbitrary sign patterns. . Linear Algebra and its Applications , 394 : 53 – 72 .
  • Corpuz , L and McDonald , JJ . Spectrally arbitrary zero–nonzero patterns of order 4 (Submitted)
  • Drew , JH , Johnson , CR , Olesky , DD and van den Driessche , P . 2000 . Spectrally arbitrary patterns. . Linear Algebra and its Applications , 308 : 121 – 137 .
  • Gantmacher , FR . 1959 . Theory of Matrices II , New York : Chelsea .
  • Gao , Y and Shao , Y . 2001 . Inertially arbitrary patterns. . Linear and Multilinear Algebra , 49 : 161 – 168 .
  • Kim , I-J , Olesky , DD and van den Driessche , P . Inertially arbitrary sign patterns with no nilpotent realization (Submitted).
  • MacGillivray , G , Tifenbach , RM and van den Driessche , P . 2005 . Spectrally arbitrary star sign patterns. . Linear Algebra and its Applications , 400 : 99 – 119 .
  • Miao , Z and Li , J . 2002 . Inertially arbitrary (2r−1)-diagonal aign patterns. . Linear Algebra and its Applications , 357 : 133 – 141 .

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