On some quasi anti-tridiagonal matrices (Q5034981)

scientific article; zbMATH DE number 7477471

Language	Label	Description	Also known as
English	On some quasi anti-tridiagonal matrices	scientific article; zbMATH DE number 7477471

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instance of

scholarly article

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title

On some quasi anti-tridiagonal matrices (English)

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published in

Journal of Discrete Mathematical Sciences and Cryptography

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publication date

21 February 2022

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zbMATH Keywords

anti-tridiagonal matrices

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Hankel matrices

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Chebyshev polynomials

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eigenvalues

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eigenvectors

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inverse eigenvalue problem

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tridiagonal matrices

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path

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tree

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graph

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author

Carlos Martins de Fonseca

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/09720529.2020.1859800

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cites work

The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices

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Spectral properties of certain tridiagonal matrices

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Remarks on anti-tridiagonal matrices

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Characterization of acyclic D-stable matrices

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Matrix Diagonal Stability and Its Implications

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Q5118286

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Q3505986

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Eigenpairs of a family of tridiagonal matrices: three decades later

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Ninety years of k-tridiagonal matrices

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Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion

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Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals

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Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals

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Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices

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The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

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Q4902474

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A new recursive algorithm for inverting general tridiagonal and anti-tridiagonal matrices

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The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices

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The symmetrization of matrices by diagonal matrices

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Integer powers of real even order anti-tridiagonal Hankel matrices of the form \(\mathrm{antitridiag}_{n} ({a},{c},-{a})\)

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Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (\(\mathrm{antitridiag}_{n} (a,c,-a), a\in \mathbb{R} \backslash \{0\}, c \in \mathbb{R}\))

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On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1,\(\dots \),1; -1, -1, -1,\(\dots \),-1 in neighbouring diagonals

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On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements \(1, 1, 1, \ldots , 1; - 1, - 1, - 1, \ldots , - 1\) in neighbouring diagonals

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On computing of arbitrary positive integer powers for one type of symmetric anti-tridiagonal matrices of odd order

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On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order

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On periodic continuants

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Q5118297

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Integer powers of anti-bidiagonal Hankel matrices

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Integer powers of anti-tridiagonal matrices of the form \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\)

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Integer powers of anti-tridiagonal matrices of the form antitridiagn(a,c,−a),a,c∈ ℂ

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Powers of complex persymmetric antitridiagonal matrices with constant antidiagonals

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On computing of arbitrary positive powers for one type of anti-tridiagonal matrices of even order

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Convergence of SSOR multisplitting method for an \(H\)-matrix

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Identifiers

zbMATH Open document ID

1487.15036

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DOI

10.1080/09720529.2020.1859800

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5034981