Results 41 to 50 of about 161 (65)

Quaternion polynomial matrices: computing normal forms [PDF]

, 2017
The applications of quaternion polynomial matrices appear in many fields like applied mathematics, engineering and statistics. In this thesis, we discuss some well-known normal forms of quaternion polynomial matrices.
Liu, Yijian
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Komütatif kuaterniyonların matrisleri üzerine [PDF]

, 2016
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Köksal, Hidayet Hüda.
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On coneigenvalues of quaternion matrices: location and perturbation

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, Hadimani, Shrinath, Jayaraman, Sachindranath   +2 more
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Surjectivity of polynomial maps on Matrices

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, Saini, Prachi, Singh, Anupam   +2 more
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Legal Ethics Education and the Dynamics of Reform [PDF]

, 2017
Elizabeth D. Gee
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Similarity and consimilarity of hyper‐dual generalized quaternions [PDF]

Mathematical Methods in the Applied Sciences
The aim of this paper is to investigate similarity and consimilarity of hyper‐dual generalized quaternions and their matrices. For this purpose, we give different conjugates according to the generalized quaternionic units . We present ‐consimilarity of hyper‐dual generalized quaternions and their matrices except hyper‐dual ‐quaternions.
Gözde Özyurt
exaly   +5 more sources

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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
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Algebraic Methods for Condiagonalization Under Consimilarity of Quaternion Matrices in Quaternionic Quantum Mechanics

Advances in Applied Clifford Algebras, 2013
By means of complex representation and real representation of quaternion matrices, paper [7] studied the problem of diagonalization of quaternion matrices. This paper introduces two new complex representation and real representation of quaternion matrices, studies the problem of condiagonalization under consimilarity of quaternion matrices, and gives ...
Tongsong Jiang, Si-Tao Ling
exaly   +2 more sources

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

Journal of Physics A, 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
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On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity

SIAM Journal on Algebraic and 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.
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