Bisymmetric non-negative Jacobi matrix realizations
AM Encinas, MJ Jiménez, C Marijuán… - Linear and Multilinear …, 2023 - Taylor & Francis
Within the symmetric inverse eigenvalue problem, the case of bisymmetric Jacobi matrices
occupies a central place, since for any strictly monotone list of n real numbers there exists a …
occupies a central place, since for any strictly monotone list of n real numbers there exists a …
[HTML][HTML] Spectrum and eigenvectors for a class of tridiagonal matrices
W Chu - Linear Algebra and its Applications, 2019 - Elsevier
A class of tridiagonal matrices are examined and characterized. Their spectrum, the left and
right eigenvectors as well as their scalar products will be determined. The determinants of …
right eigenvectors as well as their scalar products will be determined. The determinants of …
A new type of Sylvester–Kac matrix and its spectrum
CM da Fonseca, E Kılıç - Linear and Multilinear Algebra, 2021 - Taylor & Francis
ABSTRACT The Sylvester–Kac matrix, sometimes known as Clement matrix, has many
extensions and applications throughout more than a century of its existence. The …
extensions and applications throughout more than a century of its existence. The …
Nearly optimal time-independent reversal of a spin chain
We propose a time-independent Hamiltonian protocol for the reversal of qubit ordering in a
chain of N spins. Our protocol has an easily implementable nearest-neighbor, transverse …
chain of N spins. Our protocol has an easily implementable nearest-neighbor, transverse …
A four parameter extension to the Clement matrix and its role in numerical software testing
Abstract The Sylvester–Kac matrix (also known as the Clement matrix) and its
generalizations are of interest to researchers in diverse fields. A new parameterization of the …
generalizations are of interest to researchers in diverse fields. A new parameterization of the …
Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix
Z Jiang, Y Zheng, T Li - Special Matrices, 2022 - degruyter.com
In this paper, we consider a new Sylvester-Kac matrix, ie, Fibonacci-Sylvester-Kac matrix.
We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two …
We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two …
A Short Note on the Determinant of a Sylvester–Kac Type Matrix
CM da Fonseca - International Journal of Nonlinear Sciences and …, 2020 - degruyter.com
Abstract The Sylvester–Kac matrix, also known as Clement matrix, has many extensions and
applications. The evaluation of determinant and spectra of many of its generalizations …
applications. The evaluation of determinant and spectra of many of its generalizations …
[HTML][HTML] Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains
R Vaia, L Spadini - Linear Algebra and its Applications, 2020 - Elsevier
A real persymmetric Jacobi matrix of order n whose eigenvalues are {2 k 2} k= 0 n− 1 is
presented, with entries given as explicit functions of n. Besides the possible use for testing …
presented, with entries given as explicit functions of n. Besides the possible use for testing …
[PDF][PDF] An observation on the determinant of a Sylvester-Kac type matrix
CM da Fonseca, E Kılıç - Analele ştiinţifice ale Universităţii" Ovidius" …, 2020 - sciendo.com
An observation on the determinant of a Sylvester-Kac type matrix Page 1 DOI: 10.2478/auom-2020-0008
An. St. Univ. Ovidius Constanta Vol. 28(1),2020, 111–115 An observation on the determinant …
An. St. Univ. Ovidius Constanta Vol. 28(1),2020, 111–115 An observation on the determinant …
[HTML][HTML] Efficient computation of tridiagonal matrices largest eigenvalue
DFG Coelho, VS Dimitrov, L Rakai - Journal of Computational and Applied …, 2018 - Elsevier
This paper proposes a method for a fast estimation of the largest eigenvalue of an
asymmetric tridiagonal matrix. The proposed method is based on the Power method and the …
asymmetric tridiagonal matrix. The proposed method is based on the Power method and the …