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On maximal sign-nonsingular matrices - MaRDI portal

On maximal sign-nonsingular matrices (Q2564945)

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On maximal sign-nonsingular matrices
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    On maximal sign-nonsingular matrices (English)
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    7 January 1997
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    New results on maximal sign-nonsingular (SNS) matrices are derived, among which new methods for constructing new SNS matrices from smaller SNS matrices. The results are used to produce a matrix definition for the \(C_4\) cockades and to introduce new families of SNS matrices not previously defined. All the results are deduced with the help of tables of maximal, irreducible SNS matrices of orders 3 to 9.
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    maximal sign-nonsingular matrices
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    cockades
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    irreducible SNS matrices
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