Simplified GZN (Gradient-Zhang Neurodynamic) Continuous-Model and Discrete-Algorithms Handling Temporally-Varying ODLMVE (Over-Determined Linear Matrix-Vector Equation)

Solving temporally-varying over-determined linear matrix-vector (LMV) equation (TVODLMVE) issue is applicable in the fields of scientific computation, mathematical theory, and practical engineering. This paper develops a new simplified gradient-Zhang neurodynamic (GZN) continuous-model to obtain the solution, which is derived from a combination of Zhang neurodynamic (ZN) model and gradient neurodynamic (GN) model. The proposed model simplifies the computation process while owns high precision. For adapting to numerical algorithm development and digital-type hardware realization, four TD (time-discretization) formulas are used to obtain four GZN discrete-algorithms. The outcomes of numerical simulation experiments substantiate such feasibility and correctness of those discrete-algorithms, and explain the causes that have an effect on the solution precision.