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The increasing imbalance between the computing capabilities of individualnodes and the internode bandwidth makes it highly desirable for any Lattice QCDalgorithm to minimize the amount of internode communication. One of therelatively new methods for this is the `Split Grid' or `Split Domain' method,where data is rearranged within the running of a single binary, so that theroutines which requires significant off-node communications such as Diracoperators are run on multiple smaller partitions in parallel with a bettersurface to volume ratio, while other routines are run in one partition.  While it is relatively straightforward to utilize Split Grid method forinverters, the typical Lanczos algorithm which has one starting vector does notrender itself naturally to Split Grid method. In this report we investigate theBlock Lanczos algorithm(BL), which allows multiple starting vectors to beprocessed in parallel. It is shown that for a moderate number of startingvectors, BL achieves convergence comparable to similarly tuned ImplicitlyRestarted Lanczos algorithm (IRL) on 2+1-flavor physical DWF/M\"obius ensemble.

Split Grid and Block Lanczos Algorithm for Efficient Eigenpair Generation