Results 1 to 10 of about 236 (80)
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 ...
Vladimir V Sergeichuk
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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 ...
Hidayet Huda Kosal +2 more
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Consimilarity of Commutative Quaternion Matrices [PDF]
Miskolc Mathematical Notes, 2015 Hidayet Huda Kosal +2 more
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Real Representation of the Polarimetric Scattering Matrix for Monostatic Radar [PDF]
Remote Sensing, 2023 Synthetic aperture radar with polarimetric diversity is a powerful tool in remote sensing. Each pixel is described by the scattering matrix corresponding to the emission/reception polarization states (usually horizontal and vertical).
Madalina Ciuca +4 more
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An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications
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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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 +2 more
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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
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A canonical form for matrices under consimilarity
Linear Algebra and Its Applications, 1988 Square complex matrices A , B are said to be consimilar if A=SB S −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.
Yoopyo Hong, R. Horn
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A Hermitian canonical form for complex matrices under consimilarity
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.
Yoopyo Hong
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A Study on Commutative Elliptic Octonion Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan +1 more
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