The roots of a split quaternion

From MaRDI portal
Publication:1027510

DOI10.1016/j.aml.2008.03.020zbMath1163.15303OpenAlexW2020123472MaRDI QIDQ1027510

Muhamet Emin Özdemir

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.020




Related Items (37)

A new representation of canal surfaces with split quaternions in Minkowski 3-spaceExponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebrasOn the roots of coquaternionsFinding \(n\)-th roots of a \(2\times 2\) real matrix using de Moivre's formulaIntroduction to hybrid numbersGeneralized quaternion rings over \(\mathbb {Z}/n\mathbb {Z}\) for an odd \(n\)Some fixed points results of quadratic functions in split quaternionsThe Moore-Penrose inverses of split quaternions3-parameter generalized quaternions\(p\)-trigonometric approach to elliptic biquaternionsCircular surfaces with split quaternionic representations in Minkowski 3-spaceTwo-sided linear split quaternionic equations withnunknownsAlgebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanicsSplit quaternion matrix representation of dual split quaternions and their matricesFast methods for spherical linear interpolation in Minkowski spaceOn the structure of quaternion rings over \(\mathbb{Z}/n\mathbb{Z}\)Intrinsic transfer matrix method and split quaternion formalism for multilayer media\(2\times 2\) matrix representation forms and inner relationships of split quaternionsOn geometric interpretations of split quaternionsA new polar representation for split and dual split quaternionsNiven's algorithm applied to the roots of the companion polynomial over \(\mathbb {R}^4\) algebrasSpline split quaternion interpolation in Minkowski spaceOn complex split quaternion matricesOn eigenvalues of split quaternion matricesOn the unitary diagonalisation of a special class of quaternion matricesThe number of zeros of unilateral polynomials over coquaternions revisitedA system of matrix equations with five variablesFibonacci generalized quaternionsAlgebraic techniques for Schrödinger equations in split quaternionic mechanicsAlgebraic methods for least squares problem in split quaternionic mechanicsOn exponential of split quaternionic matricesUnnamed ItemA note on quaternion matrices and split quaternion matrix pencilsOn the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternionsFixed points results in algebras of split quaternion and octonionAlgebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanicsAn efficient method for solving equations in generalized quaternion and octonion algebras



Cites Work


This page was built for publication: The roots of a split quaternion