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ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems

ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems

This work presents an adaptive block Lanczos method for large-scale non-Hermitian Eigenvalue problems (henceforth the ABLE method). The ABLE method is a block version of the non-Hermitian Lanczos algorithm. There are three innovations. First, an adaptive blocksize scheme cures (near) breakdown and adapts the blocksize to the order of multiple …