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On determinantal recurrence relations of banded matrices. (English) Zbl 1499.15023

Summary: We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple alternative proofs for other results.

MSC:

15A15 Determinants, permanents, traces, other special matrix functions
15B05 Toeplitz, Cauchy, and related matrices
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