Results 281 to 288 of about 1,931 (288)

On numerical range of normal matrices of quaternions

1995
The well known Toeplitz-Hausdorff theorem states that the numerical range of a complex matrix \(A\), defined as \[ W_c (A) = \{x^* Ax : x \in \mathbb{C}^n,\;x^* x = 1\}, \] is a convex subset of \(\mathbb{C}\). If \(\mathbb{C}\) is replaced by the field \(\mathbb{H}\) of the quaternions, that statement is no longer true for the corresponding numerical ...
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On the unitary diagonalisation of a special class of quaternion matrices

Applied Mathematics Letters, 2011
Clive Cheong Took, Danilo P Mandic, Fuzhen Zhang   +2 more
exaly  

On the limit of extreme eigenvalues of large dimensional random quaternion matrices

Physics Letters, Section A: General, Atomic and Solid State Physics, 2014
Yanqing Yin, Zhidong Bai, Jiang Hu
exaly  

A fast structure-preserving method for computing the singular value decomposition of quaternion matrices

Applied Mathematics and Computation, 2014
Musheng Wei, Fengxia Zhang
exaly  

Coneigenvalues and coneigenvectors of quaternion and split quaternion matrices

2023
Alagöz, Yasemin, Özyurt, Gözde
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Quaternions and Pauli Matrices

2008
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A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications

Journal of Computational and Applied Mathematics
Anli Wei, Wenxv Ding
exaly  

On Complex Quaternion and Complex Split Quaternion Matrices

2017
Alagöz, Yasemin, Özyurt, Gözde
openaire   +1 more source