Results 251 to 260 of about 19,876 (286)

On Hyperbolic Split Quaternions and Hyperbolic Split Quaternion Matrices

Advances in Applied Clifford Algebras, 2018
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Özyurt, Gözde, ALAGÖZ, Yasemin
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Quaternionic Numerical Ranges of Normal Quaternion Matrices

AIP Conference Proceedings, 2009
By the Jordan canonical block‐entry form introduced in this paper, a practical method of determining the convexity and an estimation of the location on the quaternionic numerical range are given for a normal quaternion matrix.
Feng Lianggui, Theodore E. Simos, George Psihoyios, Ch. Tsitouras   +3 more
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Consimilarity of quaternions and coneigenvalues of quaternion matrices

Applied Mathematics and Computation, 2015
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Si-Tao Ling, Xue-Han Cheng, Tong-Song Jiang   +2 more
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L-structured quaternion matrices and quaternion linear matrix equations

Linear and Multilinear Algebra, 2015
This paper focuses on L-structured quaternion matrices. L-structured real matrices, conditions for the existence of solutions and the general solution of linear matrix equations were studied in the paper [Magnus JR. L-structured matrices and linear matrix equations, Linear Multilinear Algebra 1983;14:67–88].
Shi-Fang Yuan, Qing-Wen Wang
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Dual quaternion matrices and MATLAB applications

2018
Summary: There are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first ...
Nalbant, Kemal Gokhan, Yuce, Salim
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Isomorphism between matrices and quaternions

Lettere Al Nuovo Cimento Series 2, 1985
It is shown that the correspondence matrix-quaternion is such that to each physical equation there corresponds a set of equivalent matrix equations.
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Characteristic roots of quaternion matrices

Archiv der Mathematik, 1954
In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an eigenvalue theory can be developed similar to that for complex numbers. If A is such a matrix then quaternion elements λ and quaternion vectors x can be found such that Ax = xλ. ; © 1954 Springer. Eingegangen am 18. 9. 1953. To A. M.
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On semigroup of quaternionic matrices

Asian-European Journal of Mathematics
In this paper, we derived some algebraic properties of matrices over the quaternions. A ∗-isomorphism between the [Formula: see text] matrices over the quaternions [Formula: see text], and a subset of the [Formula: see text] matrices [Formula: see text] over the complex numbers is established.
P. Ramesh Kumar, K. Doney, K. G. Sreekumar   +2 more
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Intrinsic Functions on Matrices of Real Quaternions

Canadian Journal of Mathematics, 1963
It is well known that any semi-simple algebra over the real field R, or over the complex field C, is a direct sum (unique except for order) of simple algebras, and that a finite-dimensional simple algebra over a field is a total matrix algebra over a division algebra, or equivalently, a direct product of a division algebra over and a total matrix ...
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Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices

Symmetry, 2022
Xueling Fan
exaly