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Ranks of dense alternating sign matrices and their sign patterns
- 1.0440679 - MÚ 2016 RIV US eng J - Článek v odborném periodiku
Fiedler, Miroslav - Gao, W. - Hall, F.J. - Jing, G. - Li, Z. - Stroev, M.
Ranks of dense alternating sign matrices and their sign patterns.
Linear Algebra and Its Applications. Roč. 471, April (2015), s. 109-121. ISSN 0024-3795. E-ISSN 1873-1856
Grant CEP: GA ČR(CZ) GA14-07880S
Institucionální podpora: RVO:67985840
Klíčová slova: alternating sign matrix * dense matrix * sign pattern matrix
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.965, rok: 2015
http://www.sciencedirect.com/science/article/pii/S0024379515000257
In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.
Trvalý link: http://hdl.handle.net/11104/0243776
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