| Abstract:
In this talk, we first introduce the concept of the
elliptic biquaternion.
Then we define the quaternionic adjoint matrix
\(\chi_A\) of an elliptic
biquaternion matrix \(A\), which enables one to discuss the elliptic
biquaternion problems through the quaternion ones. Using this new concept,
some fundamental problems, such as the right eigenvalues and eigenvectors,
the singular value decomposition and the inverse can be investigated.
Moreover, the least-squares solutions to the elliptic biquaternionic
systems \(AX = B\) and \(XA = B\) are derived,
and the Sylvester-type elliptic
biquaternion matrix equation \(AX-XB = C\) is also considered.
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