Results 51 to 60 of about 244 (80)
Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces
, 2017 The paper focuses on considering some special precessional motions as the spin motions, separating the octonion angular momentum of a proton into six components, elucidating the proton angular momentum in the proton spin puzzle, especially the proton ...
Weng, Zi-Hua
core +1 more source
Stratification theory of matrix pairs under equivalence and contragredient equivalence [PDF]
, 2019 We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an arbitrary small neighbourhood of ...
Klymchuk, Tetiana
core
On coneigenvalues of quaternion matrices: location and perturbation
We derive some localization and perturbation results for coneigenvalues of quaternion matrices. In localization results, we derive Ger\v{s}gorin type theorems for right and left coneigenvalues of quaternion matrices.
Basavaraju, Pallavi +2 more
core
Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices
Journal of Mathematical Sciences, 2019 Let Tn be the set of complex Toeplitz n × n matrices. The paper describes the matrices U in the linear group GLn(ℂ) such that $$ \forall A\in {T}_n\to {U}^{-1} AU\in {T}_n ...
A. K. Abdikalykov +1 more
semanticscholar +4 more sources
Consimilarity of quaternions and coneigenvalues of quaternion matrices
Applied Mathematics and Computation, 2015 First of all, by characterizing solutions of the quaternion equation a x = x ? b , this paper studies consimilarity of quaternions and some related consequences. For the important role of coneigenvalues in consimilarity tranformations of quaternion matrices, this paper further derives the relations between principle right coneigenvalues of a quaternion
Sitao Ling, Xuehan Cheng, Tongsong Jiang
semanticscholar +4 more sources
An algebraic relation between consimilarity and similarity of complex matrices and its applications [PDF]
Journal of Physics A: Mathematical and General, 2006 An antilinear operator in complex vector spaces is an important operator in the study of modern quantum theory, quantum and semiclassical optics, quantum electronics and quantum chemistry. Consimilarity of complex matrices arises as a result of studying an antilinear operator referred to different bases in complex vector spaces, and the theory of ...
Tongsong Jiang, Xuehan Cheng, Li Chen
semanticscholar +3 more sources
Similarity and consimilarity of hyper‐dual generalized quaternions
Mathematical Methods in the Applied SciencesThe aim of this paper is to investigate similarity and consimilarity of hyper‐dual generalized quaternions and their matrices. For this purpose, we give different conjugates according to the generalized quaternionic units i,j,k$$ i,j,k $$ . We present i$$
Yasemin Alagöz, Gözde Özyurt
semanticscholar +4 more sources
Advances in Applied Clifford Algebras, 2013 By means of complex representation and real representation of quaternion matrices, paper [7] studied the problem of diagonalization of quaternion matrices. This paper introduces two new complex representation and real representation of quaternion matrices, studies the problem of condiagonalization under consimilarity of quaternion matrices, and gives ...
Tongsong Jiang, Sitao Ling
semanticscholar +5 more sources
2021 International Conference on Computer Science and Engineering (IC2SE), 2021 Classification is a technique in machine learning that is used to built the group of data. The data that consist of class and target are grouped based on the data attachment to the sample data, so that the data group can be used as a basis for making ...
Andy Satria +2 more
semanticscholar +3 more sources