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The inverse of a tridiagonal $k$-Toeplitz matrix

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 نشر من قبل Jose Brox
 تاريخ النشر 2021
  مجال البحث
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An square matrix is $k$-Toeplitz if its diagonals are periodic sequences of period $k$. We find rational formulas for the determinant, the characteristic polynomial, and the elements of the inverse of a tridiagonal $k$-Toeplitz matrix (in particular, of any tridiagonal matrix) over any commutative unital ring, using only elementary linear algebra.

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