A time-filtering wave-equation iteration, embedded in matrix-free Arnoldi, computes many eigenpairs of elliptic operators at a chosen target frequency, with experimental evidence of O(N) scaling.
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EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation
A time-filtering wave-equation iteration, embedded in matrix-free Arnoldi, computes many eigenpairs of elliptic operators at a chosen target frequency, with experimental evidence of O(N) scaling.