Results 51 to 60 of about 232 (79)

Quaternion polynomial matrices: computing normal forms [PDF]

, 2017
The applications of quaternion polynomial matrices appear in many fields like applied mathematics, engineering and statistics. In this thesis, we discuss some well-known normal forms of quaternion polynomial matrices.
Liu, Yijian
core   +1 more source

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, Hadimani, Shrinath, Jayaraman, Sachindranath   +2 more
core  

Surjectivity of polynomial maps on Matrices

For $n\geq 2$, we consider the map on $M_n(\mathbb K)$ given by evaluation of a polynomial $f(X_1, \ldots, X_m)$ over the field $\mathbb K$. In this article, we explore the image of the diagonal map given by $f=\delta_1 X_1^{k_1} + \delta_2 X_2^{k_2 ...
Panja, Saikat, Saini, Prachi, Singh, Anupam   +2 more
core  

Legal Ethics Education and the Dynamics of Reform [PDF]

, 2017
Elizabeth D. Gee
core   +1 more source

Conway and Charleton on the Intimate Presence of Souls in Bodies [PDF]

, 2018
Broad, Jacqueline
core  

Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. K. Abdikalykov, K. Ikramov
semanticscholar   +4 more sources

Algebraic Methods for Condiagonalization Under Consimilarity of Quaternion Matrices in Quaternionic Quantum Mechanics

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 ...
T. Jiang, Sitao Ling
semanticscholar   +4 more sources

An analogue of the Schur triangular factorization for complex orthogonal similarity and consimilarity

SIAM Journal on Matrix Analysis and Applications, 1988
Let \(M_ n\) be the set of all complex \(n\times n\) matrices and \(A\in M_ n\). The authors discuss the problem of triangularizing A by complex orthogonal similarity and consimilarity, i.e. factorizing \(A=Q\Delta Q^ T\) or \(A=Q\Delta Q^*\), where \(Q\in M_ n\) is complex orthogonal and \(\Delta \in M_ n\) upper triangular. It is proved that A can be
D. Choudhury, R. Horn
semanticscholar   +4 more sources

An algebraic relation between consimilarity and similarity of complex matrices and its applications

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 ...
Tong-Song Jiang, Xuehan Cheng, Li Chen
semanticscholar   +3 more sources

5-Fold Cross Validation on Supporting K-Nearest Neighbour Accuration of Making Consimilar Symptoms Disease Classification

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, O. S. Sitompul, H. Mawengkang   +2 more
semanticscholar   +3 more sources