Results 1 to 10 of about 232 (79)
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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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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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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Similarity and consimilarity of hyper‐dual generalized quaternions [PDF]
Mathematical Methods in the Applied SciencesThe 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$$ i,j,k $$ . We present i$$
Y. Alagöz, G. Özyurt
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Consimilarity of Commutative Quaternion Matrices [PDF]
Miskolc Mathematical Notes, 2015 H. Kösal, M. Akyiğit, M. Tosun
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AIMS MathematicsThis research aims to investigate the consimilarity of hybrid number matrices and to develop solutions for matrix equations associated with these numbers.
Hasan Çakır
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Real Representation of the Polarimetric Scattering Matrix for Monostatic Radar [PDF]
Remote Sensing, 2023 Synthetic aperture radar with polarimetric diversity is a powerful tool in remote sensing. Each pixel is described by the scattering matrix corresponding to the emission/reception polarization states (usually horizontal and vertical).
Madalina Ciuca +4 more
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Similarity and consimilarity of elements in the real Cayley-Dickson algebras [PDF]
Advances in Applied Clifford Algebras, 1999 The similarity and consimilarity of elements in the real quaternion, octonion and sedenion algebras, as well as in the general real Cayley-Dickson algebras are considered by solving the two fundamental equationsax=xb and $$ax = \bar xb$$ in these ...
Yongge Tian
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A canonical form for matrices under consimilarity
Linear Algebra and its Applications, 1988 Complex \(n\times n\) matrices A, B are said to be consimilar if \(B=S^{- 1}A\bar S\) for some non-singular complex matrix S. This concept arises naturally from comparing the expressions for a semilinear transformation on an n-dimensional complex vector space in two different coordinate systems.
Yoopyo Hong, R. Horn
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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.
J. Bevis, Frank J. Hall, R. Hartwig
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