Results 1 to 10 of about 161 (65)
Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C
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
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
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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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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Consimilarity of Commutative Quaternion Matrices [PDF]
Miskolc Mathematical Notes, 2015 Hidayet Huda Kosal +2 more
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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.
Bevis, Jean H. +2 more
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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.
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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.
Hong, YooPyo, Horn, Roger A.
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A Hermitian canonical form for complex matrices under consimilarity
Linear Algebra and Its Applications, 1990 An algorithm is described that yields a Hermitian canonical form for complex matrices under consimilarity. It consists of three blocks corresponding to the nonnegative, negative and nonreal eigenvalues of \(A\bar A\). A similar algorithm produces a real canonical form (for complex matrices under consimilarity).
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Modern Package Design Using Digital 3D Image Processing Technique
Mobile Information Systems, Volume 2022, Issue 1, 2022., 2022 In the extensive age, dear designate perplexity and relatively supercilious show charge in the traditive parcel extend project composition, the double discriminator GAN is ply to the bale work indicate composition. On the basis of BicycleGAN, a topic discriminator is added, and the analogous privation sine and external province are reformed.
Shengying Feng +5 more
wiley +1 more source