Integer powers of real even order anti-tridiagonal Hankel matrices of the form antitridiagn (a, c,− a)

J Rimas - Applied Mathematics and Computation, 2013 - Elsevier
Integer powers of real even order anti-tridiagonal Hankel matrices of the form antitridiagn (a,c,−a)
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Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn (a, c,− a), a∈ R⧹{0}, c∈ R)

J Rimas - Applied Mathematics and Computation, 2013 - Elsevier
Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant
anti-diagonals (antitridiagn (a, c, −a), a ∈ R⧹{0}, c ∈ R) - ScienceDirect Skip to main …

[HTML][HTML] On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners

JL da Silva - Computers & Mathematics with Applications, 2016 - Elsevier
In this paper we express the eigenvalues of real anti-pentadiagonal persymmetric Hankel
matrices with perturbed corners as the zeros of explicit rational functions. From these …

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

M Akbulak, CM da Fonseca, F Yılmaz - Applied Mathematics and …, 2013 - Elsevier
The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices - ScienceDirect
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Remarks on anti-tridiagonal matrices

N Bebiano, S Furtado - Applied Mathematics and Computation, 2020 - Elsevier
This paper gives a permutation similarity reduction of anti-tridiagonal matrices, with at most
two nonzero anti-diagonals, to tridiagonal matrices. Using this reduction and results in the …

Powers of complex persymmetric antitridiagonal matrices with constant antidiagonals

H Wang - International Scholarly Research Notices, 2014 - Wiley Online Library
We derive a general expression for the pth power (p∈ N) of any complex persymmetric
antitridiagonal Hankel (constant antidiagonals) matrices. Numerical examples are …

On some quasi anti-tridiagonal matrices

CM da Fonseca - Journal of Discrete Mathematical Sciences and …, 2021 - Taylor & Francis
The aim of this note is to provide an interpretation of two families of quasi anti-tridiagonal
matrices in terms of graph theory. Understanding this junction allows us to recover a …

Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals

J Gutiérrez-Gutiérrez - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we present an eigenvalue decomposition for any complex persymmetric
Hankel matrix with at most three non-zero anti-diagonals. Furthermore, we derive a general …

[HTML][HTML] Integer powers of anti-tridiagonal matrices of the form antitridiagn (a, 0, b), a, b∈ R

JL da Silva - Computers & Mathematics with Applications, 2015 - Elsevier
Integer powers of anti-tridiagonal matrices of the form antitridiagn(a,0,b), a,b∈R - ScienceDirect
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Spectral properties of anti-heptadiagonal persymmetric Hankel matrices

J Lita da Silva - Banach Journal of Mathematical Analysis, 2020 - Springer
In this paper we express the eigenvalues of anti-heptadiagonal persymmetric Hankel
matrices as the zeros of explicit polynomials giving also a representation of its eigenvectors …