The determinants of certain \((0,1)\) Toeplitz matrices

DOI10.1016/J.LAA.2021.02.002zbMath1464.15012OpenAlexW3126695619MaRDI QIDQ2020652

Yaroslav N. Shitov

Publication date: 24 April 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.02.002

zbMATH Keywords

determinantsToeplitz matricesband matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Some classes of tetradiagonal determinants via certain polynomial families ⋮ Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

Cites Work

• An explicit formula for the inverse of a pentadiagonal Toeplitz matrix
• Recursion formulae for the characteristic polynomial of symmetric banded matrices
• On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle
• On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices
• Explicit determinantal formula for a class of banded matrices
• Five-Diagonal Toeplitz Determinants an Their Relation to Chebyshev Polynomials
• On the characteristic polynomial, eigenvectors and determinant of heptadiagonal matrices
• A recursive relation for the determinant of a pentadiagonal matrix

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