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

Figure 9

Trajectories of 𝑦(𝑡)=(𝐴−𝐴^𝑇)𝑥(𝑡)/2|𝑏₅| based on (33) with initial 𝑥(0) as (55), which should converge to the real part of an eigenvector of 𝐴 corresponding to the eigenvalue 𝜆₅.