Parlett does not just provide algorithms; he explains why they work, exploring perturbation theory, sensitivity of eigenvalues, and variational principles.
Because the original book was published in 1980, it predates some modern developments:
To help me tailor further information, could you share a bit more about your specific goal? Let me know if you are , researching large-scale sparse matrix problems , or trying to implement an eigenvalue algorithm in code. Share public link