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A note on minors of a generalized Hankel matrix. (English) Zbl 1173.13307

Summary: A generalization of the well-known Hankel matrix, called the \(d\)-Hankel matrix, was introduced by Simis and Machado [P. F. Machado, Commun. Algebra 27, No. 1, 429–450 (1999; Zbl 0922.13008)]. We show that any \(t\)-minor of the \(d\)-Hankel matrix can be written as a linear combination of maximal minors of another matrix which is again a \(d\)-Hankel matrix.

MSC:

13C40 Linkage, complete intersections and determinantal ideals
15A15 Determinants, permanents, traces, other special matrix functions

Citations:

Zbl 0922.13008
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