We show in this text how the idea of the Implicitly Restarted Arnoldi method can be generalised to the non-symmetric Lanczos algorithm, using the two-sided Gram-Schmidt process or using a Lanczos tridiagonalisation. The implicitly restarted Lanczos method can be combined with an implicit lter. It can also be used in case of breakdown and ooers an alternative for look-ahead.

Major League Baseball uses statistics to determine awards every season. The batting champion is given to the player with the highest batting average. The Cy Young Award is given to the top pitcher which is determined by many different statistics including earned run average (ERA). Batting average and ERA have been used for many years and are major statistics in baseball. Neither batting average...