On elliptic biquaternion matrices (Q2226212)

The authors investigate classical problems of linear algebra of matrices (eigenvalues, eigenvectors, singular value decomposition, etc.) for matrices over elliptic biquaternions. They introduce the new concept of the quaternionic adjoint matrix of an elliptic biquaternionic matrix. Among other things, the authors also derive the least-squares solutions of the elliptic biquaternionic matrix equations \(AX = B\), \(XA = B\), and \(AX-XB=C\).