Results 1 to 10 of about 57 (33)
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 ...
Hidayet Huda Kosal +2 more
exaly +10 more sources
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 ...
Vladimir Sergeichuk
exaly +6 more sources
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
doaj +3 more sources
Consimilarity of quaternions and coneigenvalues of quaternion matrices [PDF]
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sitao Ling
exaly +6 more sources
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.
Yongge Tian
exaly +3 more sources
Pseudo-consimilarity and semi-consimilarity of complex matrices
Linear Algebra and Its Applications, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frank Hall, Robert E Hartwig
exaly +2 more sources
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.
exaly +3 more sources
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).
exaly +3 more sources
Consimilarity of Commutative Quaternion Matrices [PDF]
Miskolc Mathematical Notes, 2015 Hidayet Huda Kosal +2 more
exaly +3 more sources
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
doaj +1 more source