Inverses and determinants of Toeplitz-Hessenberg matrices

DOI10.11650/tjm/180103zbMath1403.15021OpenAlexW2788270652WikidataQ130193117 ScholiaQ130193117MaRDI QIDQ1990414

Roksana Słowik

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1519700416

zbMATH Keywords

Toeplitz matrixdeterminantmatrix inverseHessenberg matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Direct numerical methods for linear systems and matrix inversion (65F05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Unnamed Item ⋮ Explicit inversion formulas for properly Hessenberg and Toeplitz–Hessenberg matrices

Cites Work

• Unnamed Item
• On the closed representation for the inverses of Hessenberg matrices
• On inverses of infinite Hessenberg matrices
• Factorization of Hessenberg matrices
• Elementary triangular matrices and inverses of \(k\)-Hessenberg and triangular matrices
• Inverses of banded and k-Hessenberg matrices
• On inverse and generalized inverses of Hessenberg matrices
• On inverses of Hessenberg matrices
• A note on the determinant of a Toeplitz-Hessenberg matrix
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• Methods of inverting tridiagonal matrices

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