Results 1 to 10 of about 244 (80)
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
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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 +2 more
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Consimilarity of Commutative Quaternion Matrices [PDF]
Miskolc Mathematical Notes, 2015 In this paper, the consimilarity of complex matrices is generalized for commutative quaternion matrices. In this regard, the coneigenvalue and coneigenvector for commutative quaternion matrices are defined.
Akyigit, Mahmut +2 more
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Pseudo-consimilarity and semi-consimilarity of complex matrices [PDF]
Linear Algebra and its Applications, 1987 It is shown that the notion of consimilarity of n-by-n complex matrices is equivalent to each of the new concepts of pseudo-consimilarity and semi-consimilarity.
Bevis, Jean H. +2 more
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Consimilarity of quaternion matrices and complex matrices [PDF]
Linear Algebra and its Applications, 2001 This paper discusses consimilarity of quaternion matrices, obtains the Jordan canonical form of a quaternion matrix under consimilarity, and some necessary and sufficient conditions for consimilarity of quaternion matrices.
Liping, Huang
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A canonical form for matrices under consimilarity [PDF]
Linear Algebra and its Applications, 1988 Square complex matrices A, B are said to be consimilar if A=SBS̄−1 for some nonsingular matrix S. Consimilarity is an equivalence relation that is a natural matrix generalization of rotation of scalars in the complex plane.
Hong, YooPyo, Horn, Roger A.
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A Hermitian canonical form for complex matrices under consimilarity [PDF]
Linear Algebra and its Applications, 1990 We produce an explicit Hermitian canonical form for complex square matrices under consimilarity. We apply a simple algorithmic procedure to a concanonical form for complex matrices to construct a form that is not only canonical but also Hermitian.
Hong, Yoopyo
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Similarity and consimilarity of elements in the real Cayley-Dickson algebras [PDF]
Advances in Applied Clifford Algebras, 1999 The similarity and consimilarity of elements in the real quaternion, octonion and sedenion algebras, as well as in the general real Cayley-Dickson algebras are considered by solving the two fundamental equationsax=xb and $$ax = \bar xb$$ in these ...
Yongge Tian
semanticscholar +5 more sources