Results 11 to 20 of about 167 (63)
A Hermitian canonical form for complex matrices under consimilarity
Linear Algebra and its Applications, 1990 AbstractWe 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 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, Roger A. Horn
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Similarity and Consimilarity of Elements in Real Cayley-Dickson Algebras
, 2000 14 pages ...
Yongge Tian
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Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation [PDF]
Journal of Discrete Mathematics, Volume 2013, Issue 1, 2013., 2013 We consider an iterative algorithm for solving a complex matrix equation with conjugate and transpose of two unknowns of the form: A1VB1+C1WD1+A2V¯B2+C2W¯D2+A3VHB3+C3WHD3+A4VTB4 + C4WTD4 = E. With the iterative algorithm, the existence of a solution of this matrix equation can be determined automatically.
Mohamed A. Ramadan +3 more
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Real Representation of the Polarimetric Scattering Matrix for Monostatic Radar
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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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
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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Roth’s solvability criteria for the matrix equations AX - XB^ = C and X - AXB^ = C over the skew field of quaternions with aninvolutive automorphism q ¿ qˆ [PDF]
, 2016 The matrix equation AX-XB = C has a solution if and only if the matrices A C 0 B and A 0 0 B are similar. This criterion was proved over a field by W.E. Roth (1952) and over the skew field of quaternions by Huang Liping (1996). H.K. Wimmer (1988)
Futorny, Vyacheslav +2 more
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The Division Ring Over Conjugate Product
IEEE Access, 2019 In this paper, we investigate the rational fractions in the framework of conjugate product and establish a division ring. Some conjugate properties on the proposed division ring are obtained, and the similarity and consimilarity properties are ...
Ai-Guo Wu, Hui-Zhen Wang, Yu Teng
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Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras [PDF]
, 2017 For each two-dimensional vector space $V$ of commuting $n\times n$ matrices over a field $\mathbb F$ with at least 3 elements, we denote by $\widetilde V$ the vector space of all $(n+1)\times(n+1)$ matrices of the form $\left[\begin{smallmatrix}A&*\\0&0 ...
Futorny, Vyacheslav +3 more
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