Potentially Eventually Positive 2-generalized Star Sign Patterns
نویسندگان
چکیده
منابع مشابه
Potentially eventually positive double star sign patterns
In this work, the potentially eventually positive double star sign patterns are characterized. It is shown that, up to equivalence, an (m + n) × (m + n) double star sign pattern is potentially eventually positive if and only if it is a superpattern of four specific sign patterns. © 2012 Elsevier Ltd. All rights reserved.
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We introduce the study of potentially eventually exponentially positive (PEEP) sign patterns and establish several results using the connections between these sign patterns and the potentially eventually positive (PEP) sign patterns. It is shown that the problem of characterizing PEEP sign patterns is not equivalent to that of characterizing PEP sign patterns. A characterization of all 2× 2 and...
متن کاملConstructions of potentially eventually positive sign patterns with reducible positive part
Potentially eventually positive (PEP) sign patterns were introduced in “Sign patterns 1 that allow eventual positivity,” Electronic Journal of Linear Algebra, 19 (2010): 108–120, where it 2 was noted that A is PEP if its positive part is primitive, and an example was given of a 3× 3 PEP 3 sign pattern with reducible positive part. We extend these results by constructing n × n PEP sign 4 pattern...
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A matrix A ∈ Rn×n is eventually nonnegative (respectively, eventually positive) if there exists a positive integer k0 such that for all k ≥ k0, A ≥ 0 (respectively, A > 0). Here inequalities are entrywise and all matrices are real and square. An eigenvalue of A is dominant if its magnitude is equal to the spectral radius of A. A matrix A has the strong Perron-Frobenius property if A has a uniqu...
متن کاملA note on potentially power-positive sign patterns
In this note, some properties of potentially powerpositive sign patterns are established, and all the potentially powerpositive sign patterns of order ≤ 3 are classified completely. Keywords—Sign pattern; Potentially eventually positive sign pattern; Potentially power-positive sign pattern.
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2019
ISSN: 1081-3810
DOI: 10.13001/1081-3810.3876