Results 41 to 50 of about 139 (57)

On coneigenvalues of quaternion matrices: location and perturbation

open access: yes
We derive some localization and perturbation results for coneigenvalues of quaternion matrices. In localization results, we derive Ger\v{s}gorin type theorems for right and left coneigenvalues of quaternion matrices.
Basavaraju, Pallavi   +2 more
core  

Surjectivity of polynomial maps on Matrices

open access: yes
For $n\geq 2$, we consider the map on $M_n(\mathbb K)$ given by evaluation of a polynomial $f(X_1, \ldots, X_m)$ over the field $\mathbb K$. In this article, we explore the image of the diagonal map given by $f=\delta_1 X_1^{k_1} + \delta_2 X_2^{k_2 ...
Panja, Saikat   +2 more
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Consimilarity of quaternions and coneigenvalues of quaternion matrices

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Si-Tao Ling   +2 more
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Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdikalykov, A. K., Ikramov, Kh. D.
openaire   +2 more sources

Matrix Functions Consimilar to the Identity and Singular Integral Operators

Complex Analysis and Operator Theory, 2008
In this paper we establish the connection between singular integral operators with conjugation and matrix functions consimilar to the identity. We show that any matrix function consimilar to the identity is factorable (in some space L p ) if and only if it admits a special factorization, that we call antisymmetric, and that this antisymmetric ...
Viktor G. Kravchenko   +2 more
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On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity

SIAM Journal on Algebraic Discrete Methods, 1986
The authors consider the transformation \(A\to SA\bar S^{-1}\) where S is nonsingular. They give a motivation for such an equivalence relation and then study the extent to which a diagonal or triangular canonical form can be obtained. This leads to natural analogs of spectral theory both for general S and for unitary S.
Hong Yoo Pyo, Horn, Roger A.
openaire   +2 more sources

An algebraic relation between consimilarity and similarity of complex matrices and its applications

Journal of Physics A: Mathematical and General, 2006
An antilinear operator in complex vector spaces is an important operator in the study of modern quantum theory, quantum and semiclassical optics, quantum electronics and quantum chemistry. Consimilarity of complex matrices arises as a result of studying an antilinear operator referred to different bases in complex vector spaces, and the theory of ...
Tongsong Jiang, Xuehan Cheng, Li Chen
openaire   +1 more source

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