Explicit inversion formulas for properly Hessenberg and Toeplitz–Hessenberg matrices

DOI10.1080/03081087.2018.1538312zbMath1453.15001OpenAlexW2899178659WikidataQ114641361 ScholiaQ114641361MaRDI QIDQ5134972

Jesús Abderramán Marrero

Publication date: 18 November 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1538312

zbMATH Keywords

inversion formulaCatalan numbersHessenbergiannested sumToeplitz-Hessenberg matrixproperly Hessenberg matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Toeplitz, Cauchy, and related matrices (15B05)

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Cites Work

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• Determinants and their applications in mathematical physics
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• A generalization of the symmetry between complete and elementary symmetric functions
• An explicit formula for the inverse of band triangular Toeplitz matrix
• A note on representations for the inverses of tridiagonal matrices
• Inverses of generalized Hessenberg matrices
• Explicit Inversion Formulas for Toeplitz Band Matrices
• Another Solution of an Old Problem of Polya

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