Results 1 to 10 of about 35 (32)
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
doaj +2 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 +2 more sources
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 +2 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 +1 more source
Strain‐Driven, Non‐Catalysed Ring Expansion of Silicon Heterocycles
Chemistry – A European Journal, Volume 29, Issue 60, October 26, 2023., 2023 Small silacycles were obtained by small molecule activation with a bromosilylene. The silacycles were treated with isonitriles to induce ring expansion reactions. The saturated rings showed two subsequent isomerisation reactions. Abstract Silacycles are ubiquitous building blocks. Small silacycles can typically be expanded catalytically.
Maximilian P. Müller, Alexander Hinz
wiley +1 more source
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
doaj +1 more source
On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices
Special Matrices, 2020 The singular values σ > 1 of an n × n involutory matrix A appear in pairs (σ, 1σ{1 \over \sigma }). Their left and right singular vectors are closely connected. The case of singular values σ = 1 is discussed in detail. These singular values may appear in
Faßbender Heike, Halwaß Martin
doaj +1 more source
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
doaj +1 more source
Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj +1 more source