Results 21 to 25 of about 81 (25)

L-structure least squares solutions of reduced biquaternion matrix equations with applications

open access: yes, 2023
This paper presents a framework for computing the structure-constrained least squares solutions to the generalized reduced biquaternion matrix equations (RBMEs). The investigation focuses on three different matrix equations: a linear matrix equation with
Ahmad, Sk. Safique, Bhadala, Neha
core  

Spheres with more than 7 vector fields: all the fault of Spin(9)

open access: yes, 2012
We give an interpretation of the maximal number of linearly independent vector fields on spheres in terms of the Spin(9) representation on R^16. This casts an insight on the role of Spin(9) as a subgroup of SO(16) on the existence of vector fields on ...
Parton, Maurizio, Piccinni, Paolo
core   +1 more source

Principal angles and approximation for quaternionic projections

open access: yes, 2013
We extend Jordan's notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in M_n(A) for A the real, complex or quaternionic field (or skew field).
Loring, Terry A.
core  

On coneigenvalues of quaternion matrices: location and perturbation

open access: yes
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  

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