Explicit inversion formulas for properly Hessenberg and Toeplitz–Hessenberg matrices
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Publication:5134972
DOI10.1080/03081087.2018.1538312zbMath1453.15001OpenAlexW2899178659WikidataQ114641361 ScholiaQ114641361MaRDI QIDQ5134972
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
inversion formulaCatalan numbersHessenbergiannested sumToeplitz-Hessenberg matrixproperly Hessenberg matrix
Theory of matrix inversion and generalized inverses (15A09) Toeplitz, Cauchy, and related matrices (15B05)
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Cites Work
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- A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
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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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