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Maximum rank of powers of a matrix of a given pattern
Svatopluk Poljak
Source record
Source: Crossref
Published: Aug 1, 1989
DOI: 10.1090/s0002-9939-1989-0963575-5
Open original source ↗Source 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.
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