Results 111 to 120 of about 10,578 (149)

Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices

Numerical Functional Analysis and Optimization, 2022
Dual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics.
C. Ling, Liqun Qi, Hong Yan
semanticscholar   +1 more source

Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices

arXiv.org
Structured perturbation results for invariant subspaces of $\Delta$-Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the eigenvalues perturbed from a single defective eigenvalue. The results
Hongguo Xu
semanticscholar   +1 more source

Compound-Commuting Mappings on Skew-Hermitian Matrices

Malaysian journal of mathematical sciences
Let F be a field with proper involution − and let r, s be even integers with r, s > 2. Let SHr(F) and Cr−1(M) denote the set of all r×r skew-Hermitian matrices over the field F and the (r−1)- th compound of a matrix M, respectively.
W. S. Zheng, W. S. Ng, T. Chan
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

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 $J^2=-I$, where $I$ is the identity matrix.
S. Gigola, L. Lebtahi, N. Thome
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

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

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