A nested multiplicative commutator equation
Beitia, Maria Asunción, Cain, Bryan E., Zaballa, Ion (1988)
Portugaliae mathematica
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Beitia, Maria Asunción, Cain, Bryan E., Zaballa, Ion (1988)
Portugaliae mathematica
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Thompson, R.C. (1962)
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Ladislav Beran (1966)
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Ljiljana Cvetković, Vladimir Kostić, Maja Nedović (2015)
Open Mathematics
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In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already...