Neural-Network-Based Approach for Extracting Eigenvectors and Eigenvalues of Real Normal Matrices and Some Extension to Real Matrices

Figure 14

Trajectories of 𝑦(𝑡)=(𝐴_𝑝−𝐴^𝑇_𝑝)𝑥(𝑡)/2𝑏₂ based on (10) with initial 𝑥(0) as (65), which should converge to the real part of an eigenvector of 𝐴_𝑝 corresponding to the eigenvalue 𝜆₂.