We present some practical necessary and sufficient conditions for the existence of an η-(anti-
) Hermitian solution to a constrained Sylvester-type generalized commutative quaternion …

This paper considers the Hermitian solutions of a new system of commutative quaternion
matrix equations, where we establish both necessary and sufficient conditions for the …

This paper investigates global exponential stability of a class of Clifford-valued recurrent
neural networks. By using Brouwer's fixed point theorem, the existence of the equilibrium …

In recent years, several neural networks using Clifford algebra have been studied. Clifford
algebra is also called geometric algebra. Complex-valued Hopfield neural networks …

In this paper, we address the stability of a broad class of discrete-time hypercomplex-valued
Hopfield-type neural networks. To ensure the neural networks belonging to this class always …

The complex-valued Hopfield neural network (CHNN) can deal with multi-level information,
and has often been applied to the storage of image data. The quaternion Hopfield neural …

A reduced biquaternion neural network (RQNN) has achieved significant success in
machine learning. However, as the reduced biquaternion algebra system contains infinite …

A complex-valued Hopfield neural network (CHNN) is a multistate Hopfield model. Low
noise tolerance is the main disadvantage of CHNNs. The hyperbolic Hopfield neural …

Dual generalized commutative quaternions have broad application prospects in many fields.
Additionally, the matrix equation AXB= C has important applications in mathematics and …

In this study, we derive the expressions of the minimal norm least-squares solution for the
reduced biquaternion (RB) matrix equation AX= B by using the e 1− e 2 form of RB matrices …