EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation

Key Points

• This optimal method efficiently computes eigenvalues and eigenvectors using the wave equation, leading to faster calculations.
• Key evidence shows that the O(N) computational complexity allows for quick processing of large datasets, enhancing performance.
• Analysis of the wave equation through time-filtering demonstrates significant improvements over traditional methods.
• This approach offers a scalable solution; further validation on diverse datasets is needed for practical applications.