Algebraic condition for the singularity of certain T\"oplitz pencils
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algebraicoplitzpencilscertainconditionconjecturesingularityconstant
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An algebraic condition for the singularity of certain T\"oplitz matrix pencils is derived which involves only the principal minors of the constant parts of the pencils. This leads to an algebraic conjecture which is equivalent to the so-called T\"oplitz pencil conjecture.
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