Cache-efficient implementation and batching of tridiagonalization on manycore CPUs

This is the authors' abstract. We don't add key points for this paper.

We herein propose an efficient implementation of tridiagonalization (TRD) for small matrices on manycore CPUs. Tridiagonalization is a matrix decomposition that is used as a preprocessor for eigenvalue computations. Further, TRD for such small matrices appears even in the HPC environment as a subproblem of large computations.