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

Figure 7

Trajectories of 𝜓(𝑡)=𝑥(𝑡)^𝑇(𝐴+𝐴^𝑇)𝑥(𝑡)/2𝑥(𝑡)^𝑇𝑥(𝑡) and 𝜙(𝑡)=(𝑥(𝑡)^𝑇(𝐴𝐴^𝑇)𝑥(𝑡)/𝑥(𝑡)^𝑇𝑥(𝑡))−𝑎²₅ based on (33) with initial 𝑥(0) as (55), which should converge to 𝑎₅ and |𝑏₅|, respectively.