- Volume 25 Issue 1
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ON NILPOTENCE INDICES OF SIGN PATTERNS
- Erickson, Craig (Department of Mathematics and Statistics, Minnesota State University) ;
- Kim, In-Jae (Department of Mathematics and Statistics, Minnesota State University)
- Published : 2010.01.31
The work in this paper was motivated by , where Eschenbach and Li listed four 4 by 4 sign patterns, conjectured to be nilpotent sign patterns of nilpotence index at least 3. These sign patterns with no zero entries, called full sign patterns, are shown to be potentially nilpotent of nilpotence index 3. We also generalize these sign patterns of order 4 so that we provide classes of n by n sign patterns of nilpotence indices at least 3, if they are potentially nilpotent. Furthermore it is shown that if a full sign pattern A of order n has nilpotence index k with
Jordan block;nilpotence index;potentially nilpotent sign pattern
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