Results 91 to 100 of about 1,102 (128)

Some short notes on oriented line graphs and related matrices

arXiv.org
Oriented line graph, introduced by Kotani and Sunada (2000), is closely related to Hashimato's non-backtracking matrix (1989). It is known that for regular graphs $G$, the eigenvalues of the adjacency matrix of the oriented line graph $\vec{L}(G)$ of $G$
Cyriac Antony, Jacob Antony
semanticscholar   +1 more source

On the regularization matrix of the regularized DPSS preconditioner for non-Hermitian saddle-point problems

Computational and Applied Mathematics, 2020
Juli Zhang
semanticscholar   +2 more sources

On the nonexistence of Hermitian circulant Butson Hadamard matrices

International Journal of Contemporary Mathematical Sciences
We give another proof of our previous results stating the one-to-one correspondence between circulant Hadamard matrices and Hermitian circulant complex Hadamard matrices and the nonexistence of Hermitian circulant $q$-Butson Hadamard matrices of order $n>
Norichika Matsuki
semanticscholar   +1 more source

Improved power methods for computing eigenvalues of dual quaternion Hermitian matrices

Computational and Applied Mathematics
This paper investigates the eigenvalue computation problem of the dual quaternion Hermitian matrix closely related to multi-agent group control. Recently, power method was proposed by Cui and Qi (J Sci Comput 100(1):21, 2024) to solve such problem ...
Yongjun Chen, Liping Zhang
semanticscholar   +1 more source

Para-Hermitian rational matrices

SIAM Journal on Matrix Analysis and Applications
In this paper we study para-Hermitian rational matrices and the associated structured rational eigenvalue problem (REP). Para-Hermitian rational matrices are square rational matrices that are Hermitian for all $z$ on the unit circle that are not poles ...
Froilán M. Dopico, V. Noferini, María C. Quintana, P. Dooren   +3 more
semanticscholar   +1 more source

Procrustes problem for the inverse eigenvalue problem of normal (skew) J-Hamiltonian matrices and normal J-symplectic matrices

Linear and multilinear algebra
A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew) Hermitian where J is a real normal matrix such that $ J^2=-I $ J2=−I, where I is the identity matrix.
S. Gigola, L. Lebtahi, N. Thome
semanticscholar   +1 more source

Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations

Computational and Applied Mathematics, 2020
Wei-Ru Xu, Guoliang Chen
semanticscholar   +2 more sources

Toda versus Pfaff lattice and related polynomials

, 2002
M. Adler, P. Moerbeke
semanticscholar   +1 more source

Semi-regularized Hermitian and Skew-Hermitian Splitting Preconditioning for Saddle-Point Linear Systems

Communication on Applied Mathematics and Computation, 2022
Kang-Ya Lu, Shu-Jiao Li
semanticscholar   +1 more source

On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices

, 1980
M. Neumann, R. Varga
semanticscholar   +1 more source