Maximum rank of powers of a matrix of a given pattern
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- by Svatopluk Poljak PDF
- Proc. Amer. Math. Soc. 106 (1989), 1137-1144 Request permission
Abstract:
The pattern of a matrix is the structure of its zero and nonzero entries. For any prescribed pattern we determine the maximum possible rank of each power of a matrix with a given pattern. The approach is based on a combinatorial result that may be of some interest independently.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 1137-1144
- MSC: Primary 15A03; Secondary 05C20, 05C38
- DOI: https://doi.org/10.1090/S0002-9939-1989-0963575-5
- MathSciNet review: 963575