From matrix polynomial to determinant of block Toeplitz-Hessenberg matrix

DOI10.1007/s11075-023-01541-wzbMath1526.15012OpenAlexW4381124296MaRDI QIDQ6076948

Maryam Shams Solary

Publication date: 17 October 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01541-w

zbMATH Keywords

determinantmatrix polynomialblock Toeplitz-Hessenberg matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix pencils (15A22) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Computational properties of pentadiagonal and anti-pentadiagonal block band matrices with perturbed corners
• Determinant of block-Toeplitz band matrices
• Similarity of block companion and block Toeplitz matrices
• Is every matrix similar to a Toeplitz matrix?
• A note on the determinant of a Toeplitz-Hessenberg matrix
• Gaussoids are two-antecedental approximations of Gaussian conditional independence structures
• Toeplitz nonnegative realization of spectra via companion matrices
• Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
• A note on a generalized Cramer's rule

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