Results 1 to 10 of about 167 (63)

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications [PDF]

Journal of Applied Mathematics, 2014
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices.
Tongsong Jiang, Xuehan Cheng, Sitao Ling
doaj   +7 more sources

Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C [PDF]

Special Matrices, 2014
L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
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On the Consimilarity of Split Quaternions and Split Quaternion Matrices [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
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Consimilarity of hybrid number matrices and hybrid number matrix equations $ \mathrm{A\widetilde{\mathrm{X}}-XB} = \mathrm{C} $

AIMS Mathematics
This research aims to investigate the consimilarity of hybrid number matrices and to develop solutions for matrix equations associated with these numbers.
Hasan Çakır
doaj   +3 more sources

Consimilarity of Commutative Quaternion Matrices [PDF]

Miskolc Mathematical Notes, 2015
Akyigit, Mahmut, Kösal, Hidayet Hüda, Tosun, Murat   +2 more
core   +6 more sources

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 i,j,k.
Alagoz, Yasemin, Ozyurt, Gozde
core   +5 more sources

Similarity and consimilarity of elements in the real Cayley-Dickson algebras [PDF]

Advances in Applied Clifford Algebras, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongge Tian
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Pseudo-consimilarity and semi-consimilarity of complex matrices

Linear Algebra and its Applications, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean H. Bevis, Frank J. Hall, Robert E. Hartwig   +2 more
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Consimilarity of quaternion matrices and complex matrices

Linear Algebra and its Applications, 2001
The complex consimilarity of complex matrices defined by \(\overline{P}^{-1} AP= B\), where \(A,B,P\in \mathbb{C}^{n\times n}\) and \(P\) is invertible, is not extensible to the quaternions since \(\overline{AB}\neq \overline{AB}\) in general. Thus, given quaternion matrices \(A,B\in \mathbb{H}^{n\times n}\), the author defines the \(j\)-conjugate of \(
Liping Huang
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On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices

Special Matrices, 2020
The singular values σ > 1 of an n × n involutory matrix A appear in pairs (σ, 1σ{1 \over \sigma }). Their left and right singular vectors are closely connected. The case of singular values σ = 1 is discussed in detail. These singular values may appear in
Faßbender Heike, Halwaß Martin
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