Publicação
On the spectral properties of real antitridiagonal Hankel matrices
| Resumo: | In this article, we express the eigenvalues of real antitridiagonal Hankel matrices as the zeros of given rational functions. We still derive eigenvectors for these structured matrices at the expense of prescribed eigenvalues. |
|---|---|
| Autores principais: | da Silva, João Lita |
| Assunto: | antitridiagonal matrix eigenvalue eigenvector Hankel matrix Algebra and Number Theory Geometry and Topology |
| Ano: | 2022 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Nova de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Institucional da UNL |
Registos relacionados
article The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
por: Da Silva, João Lita
Publicado em: (2019)
por: Da Silva, João Lita
Publicado em: (2019)
article Diagonalizable matrices whose graph is a tree: The minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments
por: Saiago, Carlos M.
Publicado em: (2019)
por: Saiago, Carlos M.
Publicado em: (2019)
article Further generalization of symmetric multiplicity theory to the geometric case over a field
por: Cinzori, Isaac
Publicado em: (2021)
por: Cinzori, Isaac
Publicado em: (2021)
school The linear algebra behind Google
por: Bah, Tijan
Publicado em: (2023)
por: Bah, Tijan
Publicado em: (2023)
article On properties of n-parametric and bi-geometric circulant matrices
por: Andrade, Enide
Publicado em: (2025)
por: Andrade, Enide
Publicado em: (2025)
article The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
por: Fonseca, C. M. da
Publicado em: (2013)
por: Fonseca, C. M. da
Publicado em: (2013)
article Change in vertex status after removal of another vertex in the general setting
por: Johnson, Charles R.
Publicado em: (2021)
por: Johnson, Charles R.
Publicado em: (2021)
article k-Pell, k-Pell-Lucas and modified k-Pell numbers: some identities and norms of Hankel matrices
por: Campos, Helena
Publicado em: (2015)
por: Campos, Helena
Publicado em: (2015)
article On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers
por: Andrade, Enide
Publicado em: (2021)
por: Andrade, Enide
Publicado em: (2021)
article Spectral results on regular graphs with (k, τ)-regular sets
por: Cardoso, D.M.
Publicado em: (2007)
por: Cardoso, D.M.
Publicado em: (2007)
article Positive vectors, pairwise comparison matrices and directed Hamiltonian cycles
por: Fernandes, Rosário
Publicado em: (2024)
por: Fernandes, Rosário
Publicado em: (2024)
article On the Eigenvectors of Generalized Circulant Matrices
por: Andrade, Enide
Publicado em: (2024)
por: Andrade, Enide
Publicado em: (2024)
article Fundamental graphs for the maximum multiplicity of an eigenvalue among Hermitian matrices with a given graph
por: Johnson, Charles R.
Publicado em: (2025)
por: Johnson, Charles R.
Publicado em: (2025)
article Matrices in A(R,S) with minimum t-term ranks
por: Fernandes, Rosário
Publicado em: (2020)
por: Fernandes, Rosário
Publicado em: (2020)
article Multiplicity lists by diameter
por: Johnson, Charles R.
Publicado em: (2025)
por: Johnson, Charles R.
Publicado em: (2025)
article A Dynamic Mode Decomposition approach with Hankel blocks to forecast multi-channel temporal series
por: Vasconcelos Filho, Ênio
Publicado em: (2019)
por: Vasconcelos Filho, Ênio
Publicado em: (2019)
article Efficient algorithms for perturbed symmetrical toeplitz-plus-Hankel systems
por: Fahd, Hcini
Publicado em: (2025)
por: Fahd, Hcini
Publicado em: (2025)
article Block matrices and Guo’s index for block circulant matrices with circulant blocks
por: Andrade, Enide
Publicado em: (2018)
por: Andrade, Enide
Publicado em: (2018)
article Realizable lists via the spectra of structured matrices
por: Manzaneda, Cristina
Publicado em: (2017)
por: Manzaneda, Cristina
Publicado em: (2017)
article HPD-invariance of the Tate conjecture(s)
por: Tabuada, Gonçalo
Publicado em: (2023)
por: Tabuada, Gonçalo
Publicado em: (2023)
article Spectral results on graphs with regularity constraints
por: Cardoso, D.M.
Publicado em: (2007)
por: Cardoso, D.M.
Publicado em: (2007)
article Integer Powers of Anti-Bidiagonal Hankel Matrices
por: Silva, João Lita da
Publicado em: (2018)
por: Silva, João Lita da
Publicado em: (2018)
article Deflation for block eigenvalues of block partitioned matrices with an application to matrix polynomials of commuting matrices
por: Pereira, E.
Publicado em: (2001)
por: Pereira, E.
Publicado em: (2001)
article On the location of the eigenvalues of Jacobi matrices
por: Fonseca, C. M. da
Publicado em: (2006)
por: Fonseca, C. M. da
Publicado em: (2006)
article Spectral characterization of families of split graphs
por: Andelic, M.
Publicado em: (2015)
por: Andelic, M.
Publicado em: (2015)
article Realizable lists on a class of nonnegative matrices
por: Andrade, Enide
Publicado em: (2018)
por: Andrade, Enide
Publicado em: (2018)
article A maximal inequality for dependent random variables
por: Lita da Silva, João
Publicado em: (2025)
por: Lita da Silva, João
Publicado em: (2025)
article On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem
por: Andrade, Enide
Publicado em: (2020)
por: Andrade, Enide
Publicado em: (2020)
article Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
por: Fernandes, Rosário
Publicado em: (2020)
por: Fernandes, Rosário
Publicado em: (2020)
article Eigenvalues of matrices related to the octonions
por: Serôdio, Rogério
Publicado em: (2019)
por: Serôdio, Rogério
Publicado em: (2019)
article Spectral upper bounds for the order of a k-regular induced subgraph
por: Cardoso, D.M.
Publicado em: (2010)
por: Cardoso, D.M.
Publicado em: (2010)
article Reciprocal matrices: properties and approximation by a transitive matrix
por: Bebiano, Natália
Publicado em: (2020)
por: Bebiano, Natália
Publicado em: (2020)
article The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles
por: Fernandes, Rosário
Publicado em: (2008)
por: Fernandes, Rosário
Publicado em: (2008)
article Eigenvalues of Matrix commutators
por: Martins, Enide Andrade
Publicado em: (1995)
por: Martins, Enide Andrade
Publicado em: (1995)
article Some further notes on the matrix equations ATXB+BTXTA = C and ATXB+BTXA =C
por: Soares, Graça
Publicado em: (2015)
por: Soares, Graça
Publicado em: (2015)
article On the spectra of some graphs like weighted rooted trees
por: Fernandes, R.
Publicado em: (2008)
por: Fernandes, R.
Publicado em: (2008)
article Complementary eigenvalue problem in systems with frictional contact: the stiffness matrix for the contact nodes between different materials
por: Forjaz, Maria Antónia
Publicado em: (2014)
por: Forjaz, Maria Antónia
Publicado em: (2014)
article On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks
por: Zhang Yulin
Publicado em: (2010)
por: Zhang Yulin
Publicado em: (2010)
article Imbedding conditions for normal matrices
por: Queiró, João Filipe
Publicado em: (2009)
por: Queiró, João Filipe
Publicado em: (2009)
article On skew-symmetric matrices related to the vector cross product in R^7
por: Beites, P. D.
Publicado em: (2017)
por: Beites, P. D.
Publicado em: (2017)
Registos relacionados
-
article The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
por: Da Silva, João Lita
Publicado em: (2019) -
article Diagonalizable matrices whose graph is a tree: The minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments
por: Saiago, Carlos M.
Publicado em: (2019) -
article Further generalization of symmetric multiplicity theory to the geometric case over a field
por: Cinzori, Isaac
Publicado em: (2021) -
school The linear algebra behind Google
por: Bah, Tijan
Publicado em: (2023) -
article On properties of n-parametric and bi-geometric circulant matrices
por: Andrade, Enide
Publicado em: (2025)